100001111129 has 2 divisors, whose sum is σ = 100001111130. Its totient is φ = 100001111128.

The previous prime is 100001111057. The next prime is 100001111137. The reversal of 100001111129 is 921111100001.

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., 78022455625 + 21978655504 = 279325^2 + 148252^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001111129 - 2³⁶ = 31281634393 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001111629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000555564 + 50000555565.

It is an arithmetic number, because the mean of its divisors is an integer number (50000555565).

Almost surely, 2^100001111129 is an apocalyptic number.

It is an amenable number.

100001111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001111129 is an equidigital number, since it uses as much as digits as its factorization.

100001111129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 100001111129 in words is "one hundred billion, one million, one hundred eleven thousand, one hundred twenty-nine".