10100110100985 has 48 divisors (see below), whose sum is σ = 17812465632000. Its totient is φ = 5293093132800.

The previous prime is 10100110100957. The next prime is 10100110100999. The reversal of 10100110100985 is 58900101100101.

It is not a de Polignac number, because 10100110100985 - 2⁶ = 10100110100921 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, 2967985 + ... + 5386014.

It is an arithmetic number, because the mean of its divisors is an integer number (371093034000).

Almost surely, 2^{10100110100985} is an apocalyptic number.

10100110100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100110100985 is a deficient number, since it is larger than the sum of its proper divisors (7712355531015).

10100110100985 is a wasteful number, since it uses less digits than its factorization.

10100110100985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354478 (or 8354475 counting only the distinct ones).

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

The spelling of 10100110100985 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred thousand, nine hundred eighty-five".