100111001122129 has 2 divisors, whose sum is σ = 100111001122130. Its totient is φ = 100111001122128.

The previous prime is 100111001122091. The next prime is 100111001122141. The reversal of 100111001122129 is 921221100111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67851134352400 + 32259866769729 = 8237180^2 + 5679777^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111001122129 - 2²⁵ = 100110967567697 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111001162129) 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, 50055500561064 + 50055500561065.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500561065).

Almost surely, 2^{100111001122129} is an apocalyptic number.

It is an amenable number.

100111001122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001122129 is an equidigital number, since it uses as much as digits as its factorization.

100111001122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 100111001122129 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty-two thousand, one hundred twenty-nine".