10100110985 has 16 divisors (see below), whose sum is σ = 12153554064. Its totient is φ = 8057843712.

The previous prime is 10100110949. The next prime is 10100110997. The reversal of 10100110985 is 58901100101.

It can be written as a sum of positive squares in 8 ways, for example, as 234059401 + 9866051584 = 15299^2 + 99328^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100110985 - 2¹⁰ = 10100109961 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3893849 + ... + 3896441.

It is an arithmetic number, because the mean of its divisors is an integer number (759597129).

Almost surely, 2^10100110985 is an apocalyptic number.

It is an amenable number.

10100110985 is a deficient number, since it is larger than the sum of its proper divisors (2053443079).

10100110985 is a wasteful number, since it uses less digits than its factorization.

10100110985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444.

The product of its (nonzero) digits is 360, while the sum is 26.

The spelling of 10100110985 in words is "ten billion, one hundred million, one hundred ten thousand, nine hundred eighty-five".