101010001100985 has 48 divisors (see below), whose sum is σ = 175138912728000. Its totient is φ = 53855107915392.

The previous prime is 101010001100951. The next prime is 101010001101007. The reversal of 101010001100985 is 589001100010101.

It is not a de Polignac number, because 101010001100985 - 2¹⁸ = 101010000838841 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2099583111 + ... + 2099631219.

It is an arithmetic number, because the mean of its divisors is an integer number (3648727348500).

Almost surely, 2^{101010001100985} is an apocalyptic number.

101010001100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101010001100985 is a deficient number, since it is larger than the sum of its proper divisors (74128911627015).

101010001100985 is a wasteful number, since it uses less digits than its factorization.

101010001100985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61782 (or 61779 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 101010001100985 in words is "one hundred one trillion, ten billion, one million, one hundred thousand, nine hundred eighty-five".