10101110999957 has 16 divisors (see below), whose sum is σ = 10227374979840. Its totient is φ = 9975135456000.

The previous prime is 10101110999843. The next prime is 10101111000023. The reversal of 10101110999957 is 75999901110101.

It is a cyclic number.

It is not a de Polignac number, because 10101110999957 - 2²² = 10101106805653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101110999899 and 10101110999908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110909957) 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, 510121457 + ... + 510141257.

It is an arithmetic number, because the mean of its divisors is an integer number (639210936240).

Almost surely, 2^{10101110999957} is an apocalyptic number.

It is an amenable number.

10101110999957 is a deficient number, since it is larger than the sum of its proper divisors (126263979883).

10101110999957 is an equidigital number, since it uses as much as digits as its factorization.

10101110999957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26764.

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

The spelling of 10101110999957 in words is "ten trillion, one hundred one billion, one hundred ten million, nine hundred ninety-nine thousand, nine hundred fifty-seven".