10100220112120 has 32 divisors (see below), whose sum is σ = 22725652734000. Its totient is φ = 4040060048128.

The previous prime is 10100220112097. The next prime is 10100220112201. The reversal of 10100220112120 is 2121102200101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100220112120.

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 7 ways as a sum of consecutive naturals, for example, 5552412 + ... + 7143508.

Almost surely, 2^{10100220112120} is an apocalyptic number.

10100220112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100220112120 is an abundant number, since it is smaller than the sum of its proper divisors (12625432621880).

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

10100220112120 is a wasteful number, since it uses less digits than its factorization.

10100220112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749807 (or 1749803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100220112120 its reverse (2121102200101), we get a palindrome (12221322312221).

The spelling of 10100220112120 in words is "ten trillion, one hundred billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty".