10100111100984 has 96 divisors (see below), whose sum is σ = 28183704045120. Its totient is φ = 3265911656448.

The previous prime is 10100111100923. The next prime is 10100111100997. The reversal of 10100111100984 is 48900111100101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12824097 + ... + 13588880.

It is an arithmetic number, because the mean of its divisors is an integer number (293580250470).

Almost surely, 2^{10100111100984} is an apocalyptic number.

It is an amenable number.

10100111100984 is an abundant number, since it is smaller than the sum of its proper divisors (18083592944136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100111100984 is a wasteful number, since it uses less digits than its factorization.

10100111100984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26413149 (or 26413142 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 10100111100984 in words is "ten trillion, one hundred billion, one hundred eleven million, one hundred thousand, nine hundred eighty-four".