10100111322120 has 128 divisors (see below), whose sum is σ = 30413576476800. Its totient is φ = 2683312257024.

The previous prime is 10100111322107. The next prime is 10100111322173. The reversal of 10100111322120 is 2122311100101.

It is a super-2 number, since 2×10100111322120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10100111322120.

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 31 ways as a sum of consecutive naturals, for example, 42537891 + ... + 42774669.

It is an arithmetic number, because the mean of its divisors is an integer number (237606066225).

Almost surely, 2^{10100111322120} is an apocalyptic number.

10100111322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100111322120 is an abundant number, since it is smaller than the sum of its proper divisors (20313465154680).

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

10100111322120 is a wasteful number, since it uses less digits than its factorization.

10100111322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238119 (or 238115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100111322120 its reverse (2122311100101), we get a palindrome (12222422422221).

The spelling of 10100111322120 in words is "ten trillion, one hundred billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twenty".