10100120120 has 16 divisors (see below), whose sum is σ = 22725270360. Its totient is φ = 4040048032.

The previous prime is 10100120119. The next prime is 10100120159. The reversal of 10100120120 is 2102100101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10100120098 and 10100120107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126251462 + ... + 126251541.

Almost surely, 2^10100120120 is an apocalyptic number.

10100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100120120 is an abundant number, since it is smaller than the sum of its proper divisors (12625150240).

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

10100120120 is a wasteful number, since it uses less digits than its factorization.

10100120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252503014 (or 252503010 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100120120 its reverse (2102100101), we get a palindrome (12202220221).

It can be divided in two parts, 101001 and 20120, that added together give a palindrome (121121).

The spelling of 10100120120 in words is "ten billion, one hundred million, one hundred twenty thousand, one hundred twenty".