101 number

From Example Problems
Jump to navigation Jump to search

101 (one hundred [and] one) is the natural number following 100 and preceding 102.

Template:Numbers 100s
Cardinal one hundred [and]
one
Ordinal101st (one hundred
[and] first)
Factorizationprime
Roman numeralCI
Binary1100101
Hexadecimal65
Hebrewקא (Qof Alef)

In mathematics

101 is the 26th prime number and a palindromic number (therefore also a palindromic prime). The next prime is 103, with which it comprises a twin prime (making 101 a Chen prime). Because the period length of its reciprocal is unique among primes, 101 is a unique prime. 101 is an Eisenstein prime with no imaginary part and real part of the form .

101 is the sum of five consecutive primes (13 + 17 + 19 + 23 + 29). Given 101, the Mertens function returns 0.

101 is a centered decagonal number.

For a 3-digit number in base 10, this number has a relatively simple divisibility test. The 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 1000a + 100b + 10a + b (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form 100b + b, such as 707 and 808, then the number is divisible by 101. This might not be as simple as the divisibility tests for numbers like 3 and 5, and it might not be terribly practical, but it is simpler than the divisibility tests for other 3-digit numbers.

In astronomy

In other fields

101 is also:


See also: 101st km

es:Ciento uno fr:101 (nombre) ko:101 it:Centouno ja:101 ru:101 (число) sl:101 (število) sv:101 (tal) zh:101