100111100999957 has 16 divisors (see below), whose sum is σ = 105767757158400. Its totient is φ = 94601456664960.

The previous prime is 100111100999941. The next prime is 100111100999963. The reversal of 100111100999957 is 759999001111001.

It is a cyclic number.

It is not a de Polignac number, because 100111100999957 - 2⁴ = 100111100999941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111100999899 and 100111100999908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111106999957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158240732 + ... + 158872122.

It is an arithmetic number, because the mean of its divisors is an integer number (6610484822400).

Almost surely, 2^{100111100999957} is an apocalyptic number.

It is an amenable number.

100111100999957 is a deficient number, since it is larger than the sum of its proper divisors (5656656158443).

100111100999957 is a wasteful number, since it uses less digits than its factorization.

100111100999957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747796.

The product of its (nonzero) digits is 229635, while the sum is 53.

The spelling of 100111100999957 in words is "one hundred trillion, one hundred eleven billion, one hundred million, nine hundred ninety-nine thousand, nine hundred fifty-seven".