100110010992857 has 2 divisors, whose sum is σ = 100110010992858. Its totient is φ = 100110010992856.

The previous prime is 100110010992809. The next prime is 100110010992899. The reversal of 100110010992857 is 758299010011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100091640985561 + 18370007296 = 10004581^2 + 135536^2 .

It is an emirp because it is prime and its reverse (758299010011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110010992857 - 2¹⁶ = 100110010927321 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110010992757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055005496428 + 50055005496429.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005496429).

Almost surely, 2^{100110010992857} is an apocalyptic number.

It is an amenable number.

100110010992857 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110010992857 is an equidigital number, since it uses as much as digits as its factorization.

100110010992857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 44.

The spelling of 100110010992857 in words is "one hundred trillion, one hundred ten billion, ten million, nine hundred ninety-two thousand, eight hundred fifty-seven".