10100985407188 has 24 divisors (see below), whose sum is σ = 19348545823880. Its totient is φ = 4585567144320.

The previous prime is 10100985407173. The next prime is 10100985407189. The reversal of 10100985407188 is 88170458900101.

It can be written as a sum of positive squares in 4 ways, for example, as 788405478084 + 9312579929104 = 887922^2 + 3051652^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100985407189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1592207643 + ... + 1592213986.

Almost surely, 2^{10100985407188} is an apocalyptic number.

It is an amenable number.

10100985407188 is a deficient number, since it is larger than the sum of its proper divisors (9247560416692).

10100985407188 is a wasteful number, since it uses less digits than its factorization.

10100985407188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184421707 (or 3184421705 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 52.

The spelling of 10100985407188 in words is "ten trillion, one hundred billion, nine hundred eighty-five million, four hundred seven thousand, one hundred eighty-eight".