100100011111129 has 2 divisors, whose sum is σ = 100100011111130. Its totient is φ = 100100011111128.

The previous prime is 100100011110997. The next prime is 100100011111141. The reversal of 100100011111129 is 921111110001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90064750160025 + 10035260951104 = 9490245^2 + 3167848^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100011111129 - 2¹³ = 100100011102937 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100011111229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005555564 + 50050005555565.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005555565).

Almost surely, 2^{100100011111129} is an apocalyptic number.

It is an amenable number.

100100011111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011111129 is an equidigital number, since it uses as much as digits as its factorization.

100100011111129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 100100011111129 in words is "one hundred trillion, one hundred billion, eleven million, one hundred eleven thousand, one hundred twenty-nine".