101 (number)

Source: Wikipedia, the free encyclopedia.

← 100
101 102 →
Cardinalone hundred [and] one
Ordinal101st
(one hundred [and] first)
Factorizationprime
Prime26th
Divisors1, 101
Greek numeralΡΑ´
Roman numeralCI
Binary11001012
Ternary102023
Senary2456
Octal1458
Duodecimal8512
Hexadecimal6516

101 (one hundred [and] one) is the

100 and preceding 102
.

It is variously pronounced "one hundred and one" / "a hundred and one", "one hundred one" / "a hundred one", and "one oh one". As an

ordinal number
, 101st (one hundred [and] first), rather than 101th, is the correct form.

In mathematics

101 as the sum of three distinct nonzero squares

101 is:

  • the 26th prime number and the smallest above 100.
  • a palindromic number in decimal, and so a palindromic prime.
  • a Chen prime since 103 is also prime, with which it makes a twin prime pair.
  • a sexy prime since 107 and 113 are also prime, with which it makes a sexy prime triplet.
  • a
    unique prime
    because the period length of its reciprocal is unique among primes.
  • an
    real part
    of the form .
  • the fifth alternating factorial.[1]
  • a centered decagonal number.[2]
  • the only existing prime with alternating 1s and 0s in decimal and the largest known prime of the form .[3]
  • the number of compositions of 12 into distinct parts.[4]
  • the smallest number that can be expressed as the sum of three distinct nonzero squares in more than two ways: , or (see image).[5][6]

Given 101, the

0.[7] It is the second prime to have this property after 2.[8]

For a 3-digit number in decimal, this number has a relatively simple divisibility test. The candidate number is split into groups of four, starting with the rightmost four, and added up to produce a 4-digit number. If this 4-digit number is of the form (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form , such as 707 and 808, then the number is divisible by 101.[9]

On the

strobogrammatic prime and a dihedral prime.[10]

In science

Messier 101, A Pinwheel galaxy
  • In mineralogy, a Miller index of 101 is a crystal face that crosses the horizontal axis (a) and 3D vertical axis (c) but does not cross the 2D vertical axis (b).
  • In physics and chemistry, it is the atomic number of mendelevium, an actinide.
  • In astronomy it is the Messier designation given to the Pinwheel Galaxy in Ursa Major.

In books

According to

statistical survey
or overview of some topic.

Room 101 is a torture chamber in the novel Nineteen Eighty-Four by George Orwell
.

In education

In American university course numbering systems, the number 101 is often used for an introductory course at a beginner's level in a department's subject area.[11][12][13] This common numbering system was designed to make transfer between colleges easier. It can also indicate a course for students not intending to major in the subject; e.g. a student intending to major in English would take English 111 not English 101.

In theory, any numbered course in one

University of Buffalo in 1929.[12][13]

Based on this usage, the term "101" (pronounced ONE-oh-ONE) has gained a slang sense referring to basic knowledge of a topic or a collection of introductory materials to a topic, as in the sentence, "Boiling potatoes is Cooking 101".[13] The Oxford English Dictionary records the usage of "101" in this slang sense from 1986.[13]

In other fields

In public life:

In construction and technics:

  • Taipei 101, the tallest skyscraper in the world from 2004 to 2010.
  • An
    HTTP status code
    indicating that the server is switching protocols as requested by the client to do so.
  • A term used to define the number of keys on a standard 101 key computer keyboard[16]
  • iCar 101 is a roadable aircraft design concept.[17][18]
  • The
    Zastava 101
    is a compact car by the former Yugoslav automaker.

Proper names:

  • Roi Et Province
    , a province in Thailand. The name is literally 101 in Thai language.
  • 101 Ranch Oil Company
  • "l'ordre des Piliers du 101" is an important student association in Belgium since 1977.

In entertainment:

  • 101, a Depeche Mode album
  • 101 Dalmatians, a 1956 children's novel by Dodie Smith
  • 101 Reykjavík, a 2000 Icelandic film directed by Baltasar Kormákur, 101 being a postcode of Reykjavik
  • The apartment number of Neo in The Matrix
  • Vault 101 is the starting area of the 2008 action role-playing game Fallout 3
  • The Wonderful 101, an action-adventure game for the Wii U
  • Produce 101, a Korean reality girl group survival show
  • TV show Zoey 101
  • The house number of
    Samson en Gert
    in the eponymous Belgian kids' television show.

Others:

  • 101 is the identifying number of several infantry units in various militaries across the world, such as the American and Israeli paratrooper brigades.
  • 101 was the tail number of a Polish Air Force
    2010 Polish Air Force Tu-154 crash
    .

References

  1. ^ "Sloane's A005165 : Alternating factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 27 May 2016.
  2. ^ "Sloane's A062786 : Centered 10-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 27 May 2016.
  3. ^ Prime Curios! 101
  4. ^ Sloane, N. J. A. (ed.). "Sequence A032020 (Number of compositions (ordered partitions) of n into distinct parts)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 24 May 2022.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A025349 (Numbers that are the sum of 3 distinct nonzero squares in 3 or more ways.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A025341 (Numbers that are the sum of 3 distinct nonzero squares in exactly 3 ways.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  7. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 27 May 2016.
  8. ^ "Sloane's A100669 : Zeros of the Mertens function that are also prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 29 May 2016.
  9. S2CID 125269086
  10. ^ "Sloane's A134996 : Dihedral calculator primes: p, p upside down, p in a mirror, p upside-down-and-in-a-mirror are all primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 17 December 2020.
  11. ^ Kovalchik, Kara (20 November 2013). "Why Are Introductory Classes Called '101'?". mentalfloss.com. Retrieved 30 September 2023.
  12. ^ . Retrieved October 2011
  13. ^ a b c d Engber, Daniel (6 September 2006). "101 101". Slate Magazine. Retrieved 9 May 2017.
  14. ^ "Report a crime or antisocial behaviour – GOV.UK". direct.gov.uk. Retrieved 4 April 2018.
  15. ^ Welcome to 101, Home Office, retrieved 5 April 2009
  16. ^ Kozierok, Charles (28 June 2018). "101-Key "Enhanced" Keyboard Layout". The PC Guide. Retrieved 29 May 2019.
  17. ^ "iCar flying vehicle". designboom.com. 27 January 2011. Retrieved 30 September 2023.
  18. ^ "iCar 101 – The ultimate roadable aircraft". Retrieved 6 August 2010.[dead link]