10122011110120 has 128 divisors (see below), whose sum is σ = 28414160490240. Its totient is φ = 3159566714880.

The previous prime is 10122011110103. The next prime is 10122011110171. The reversal of 10122011110120 is 2101111022101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10122011110120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18780666 + ... + 19312105.

It is an arithmetic number, because the mean of its divisors is an integer number (221985628830).

Almost surely, 2^{10122011110120} is an apocalyptic number.

10122011110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122011110120 is an abundant number, since it is smaller than the sum of its proper divisors (18292149380120).

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

10122011110120 is a wasteful number, since it uses less digits than its factorization.

10122011110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38092875 (or 38092871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10122011110120 its reverse (2101111022101), we get a palindrome (12223122132221).

The spelling of 10122011110120 in words is "ten trillion, one hundred twenty-two billion, eleven million, one hundred ten thousand, one hundred twenty".