100110010009957 has 2 divisors, whose sum is σ = 100110010009958. Its totient is φ = 100110010009956.

The previous prime is 100110010009951. The next prime is 100110010010123. The reversal of 100110010009957 is 759900010011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99965422989441 + 144587020516 = 9998271^2 + 380246^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110010009957 - 2²³ = 100110001621349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110010009951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005004978 + 50055005004979.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005004979).

Almost surely, 2^{100110010009957} is an apocalyptic number.

It is an amenable number.

100110010009957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110010009957 is an equidigital number, since it uses as much as digits as its factorization.

100110010009957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2835, while the sum is 34.

The spelling of 100110010009957 in words is "one hundred trillion, one hundred ten billion, ten million, nine thousand, nine hundred fifty-seven".