100110110111057 has 2 divisors, whose sum is σ = 100110110111058. Its totient is φ = 100110110111056.

The previous prime is 100110110110979. The next prime is 100110110111149. The reversal of 100110110111057 is 750111011011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93854553876736 + 6255556234321 = 9687856^2 + 2501111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110110111057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110110111357) 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, 50055055055528 + 50055055055529.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055055529).

Almost surely, 2^{100110110111057} is an apocalyptic number.

It is an amenable number.

100110110111057 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110110111057 is an equidigital number, since it uses as much as digits as its factorization.

100110110111057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 20.

Adding to 100110110111057 its reverse (750111011011001), we get a palindrome (850221121122058).

The spelling of 100110110111057 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred eleven thousand, fifty-seven".