100132031413121 has 2 divisors, whose sum is σ = 100132031413122. Its totient is φ = 100132031413120.

The previous prime is 100132031413039. The next prime is 100132031413201. The reversal of 100132031413121 is 121314130231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77170339162225 + 22961692250896 = 8784665^2 + 4791836^2 .

It is a cyclic number.

It is not a de Polignac number, because 100132031413121 - 2²⁶ = 100131964304257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100132033413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066015706560 + 50066015706561.

It is an arithmetic number, because the mean of its divisors is an integer number (50066015706561).

Almost surely, 2^{100132031413121} is an apocalyptic number.

It is an amenable number.

100132031413121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132031413121 is an equidigital number, since it uses as much as digits as its factorization.

100132031413121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 100132031413121 its reverse (121314130231001), we get a palindrome (221446161644122).

The spelling of 100132031413121 in words is "one hundred trillion, one hundred thirty-two billion, thirty-one million, four hundred thirteen thousand, one hundred twenty-one".