10100110110984 has 144 divisors (see below), whose sum is σ = 27612497097900. Its totient is φ = 3335110297344.

The previous prime is 10100110110967. The next prime is 10100110110997. The reversal of 10100110110984 is 48901101100101.

It is a happy number.

10100110110984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10065708022500 + 34402088484 = 3172650^2 + 185478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6207811179 + ... + 6207812805.

Almost surely, 2^{10100110110984} is an apocalyptic number.

It is an amenable number.

10100110110984 is an abundant number, since it is smaller than the sum of its proper divisors (17512386986916).

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

10100110110984 is a wasteful number, since it uses less digits than its factorization.

10100110110984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 2098 counting only the distinct ones).

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

The spelling of 10100110110984 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred ten thousand, nine hundred eighty-four".