100111110122129 has 2 divisors, whose sum is σ = 100111110122130. Its totient is φ = 100111110122128.

The previous prime is 100111110122117. The next prime is 100111110122237. The reversal of 100111110122129 is 921221011111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84353203360000 + 15757906762129 = 9184400^2 + 3969623^2 .

It is an emirp because it is prime and its reverse (921221011111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111110122129 - 2²⁸ = 100110841686673 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111110922129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555061064 + 50055555061065.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555061065).

Almost surely, 2^{100111110122129} is an apocalyptic number.

It is an amenable number.

100111110122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110122129 is an equidigital number, since it uses as much as digits as its factorization.

100111110122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 100111110122129 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty-nine".