10100111000999 has 12 divisors (see below), whose sum is σ = 10657015225416. Its totient is φ = 9570686193552.

The previous prime is 10100111000977. The next prime is 10100111001011. The reversal of 10100111000999 is 99900011100101.

It is not a de Polignac number, because 10100111000999 - 2¹² = 10100110996903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111000909) 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, 89162264 + ... + 89275469.

It is an arithmetic number, because the mean of its divisors is an integer number (888084602118).

Almost surely, 2^{10100111000999} is an apocalyptic number.

10100111000999 is a deficient number, since it is larger than the sum of its proper divisors (556904224417).

10100111000999 is a wasteful number, since it uses less digits than its factorization.

10100111000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178437886 (or 178437863 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10100111000999 in words is "ten trillion, one hundred billion, one hundred eleven million, nine hundred ninety-nine", and thus it is an aban number.