100111051667857 has 2 divisors, whose sum is σ = 100111051667858. Its totient is φ = 100111051667856.

The previous prime is 100111051667789. The next prime is 100111051667899. The reversal of 100111051667857 is 758766150111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94201951881361 + 5909099786496 = 9705769^2 + 2430864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111051667857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100111051667857.

It is not a weakly prime, because it can be changed into another prime (100111051667357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055525833928 + 50055525833929.

It is an arithmetic number, because the mean of its divisors is an integer number (50055525833929).

Almost surely, 2^{100111051667857} is an apocalyptic number.

It is an amenable number.

100111051667857 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111051667857 is an equidigital number, since it uses as much as digits as its factorization.

100111051667857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 49.

The spelling of 100111051667857 in words is "one hundred trillion, one hundred eleven billion, fifty-one million, six hundred sixty-seven thousand, eight hundred fifty-seven".