10120122100120 has 64 divisors (see below), whose sum is σ = 23026994928000. Its totient is φ = 4002413150208.

The previous prime is 10120122100061. The next prime is 10120122100163. The reversal of 10120122100120 is 2100122102101.

It is a self number, because there is not a number n which added to its sum of digits gives 10120122100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162194449 + ... + 162256831.

It is an arithmetic number, because the mean of its divisors is an integer number (359796795750).

Almost surely, 2^{10120122100120} is an apocalyptic number.

10120122100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122100120 is an abundant number, since it is smaller than the sum of its proper divisors (12906872827880).

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

10120122100120 is a wasteful number, since it uses less digits than its factorization.

10120122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108052 (or 108048 counting only the distinct ones).

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

Adding to 10120122100120 its reverse (2100122102101), we get a palindrome (12220244202221).

The spelling of 10120122100120 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".