10100100120 has 64 divisors (see below), whose sum is σ = 33054877440. Its totient is φ = 2448508800.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100120 is 2100100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10100100099 and 10100100108.

It is a congruent 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, 3824476 + ... + 3827115.

It is an arithmetic number, because the mean of its divisors is an integer number (516482460).

Almost surely, 2^10100100120 is an apocalyptic number.

10100100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100100120 is an abundant number, since it is smaller than the sum of its proper divisors (22954777320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100100120 is a wasteful number, since it uses less digits than its factorization.

10100100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651616 (or 7651612 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100100120 its reverse (2100100101), we get a palindrome (12200200221).

The spelling of 10100100120 in words is "ten billion, one hundred million, one hundred thousand, one hundred twenty".