101110999999957 has 2 divisors, whose sum is σ = 101110999999958. Its totient is φ = 101110999999956.

The previous prime is 101110999999951. The next prime is 101111000000011. The reversal of 101110999999957 is 759999999011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101005997430276 + 105002569681 = 10050174^2 + 324041^2 .

It is an emirp because it is prime and its reverse (759999999011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110999999957 - 2⁷ = 101110999999829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110999999951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555499999978 + 50555499999979.

It is an arithmetic number, because the mean of its divisors is an integer number (50555499999979).

Almost surely, 2^{101110999999957} is an apocalyptic number.

It is an amenable number.

101110999999957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110999999957 is an equidigital number, since it uses as much as digits as its factorization.

101110999999957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 167403915, while the sum is 79.

The spelling of 101110999999957 in words is "one hundred one trillion, one hundred ten billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred fifty-seven".