10122100120 has 48 divisors (see below), whose sum is σ = 25033387680. Its totient is φ = 3680761920.

The previous prime is 10122100063. The next prime is 10122100159. The reversal of 10122100120 is 2100122101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10122100097 and 10122100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1040832 + ... + 1050511.

It is an arithmetic number, because the mean of its divisors is an integer number (521528910).

Almost surely, 2^10122100120 is an apocalyptic number.

10122100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122100120 is an abundant number, since it is smaller than the sum of its proper divisors (14911287560).

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

10122100120 is a wasteful number, since it uses less digits than its factorization.

10122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091376 (or 2091361 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122100120 its reverse (2100122101), we get a palindrome (12222222221).

The spelling of 10122100120 in words is "ten billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".