101011100110983 has 12 divisors (see below), whose sum is σ = 145908198558720. Its totient is φ = 67339221326016.

The previous prime is 101011100110967. The next prime is 101011100111021. The reversal of 101011100110983 is 389011001110101.

It is not a de Polignac number, because 101011100110983 - 2⁴ = 101011100110967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011102110983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125583618 + ... + 126385391.

It is an arithmetic number, because the mean of its divisors is an integer number (12159016546560).

Almost surely, 2^{101011100110983} is an apocalyptic number.

101011100110983 is a deficient number, since it is larger than the sum of its proper divisors (44897098447737).

101011100110983 is a wasteful number, since it uses less digits than its factorization.

101011100110983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252013558 (or 252013555 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 27.

The spelling of 101011100110983 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred ten thousand, nine hundred eighty-three".