10111112122120 has 32 divisors (see below), whose sum is σ = 22836504208320. Its totient is φ = 4029066727360.

The previous prime is 10111112122087. The next prime is 10111112122141. The reversal of 10111112122120 is 2122121111101.

It is a junction number, because it is equal to n+sod(n) for n = 10111112122094 and 10111112122103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480555646 + ... + 480576685.

It is an arithmetic number, because the mean of its divisors is an integer number (713640756510).

Almost surely, 2^{10111112122120} is an apocalyptic number.

10111112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111112122120 is an abundant number, since it is smaller than the sum of its proper divisors (12725392086200).

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

10111112122120 is a wasteful number, since it uses less digits than its factorization.

10111112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961132605 (or 961132601 counting only the distinct ones).

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

Adding to 10111112122120 its reverse (2122121111101), we get a palindrome (12233233233221).

The spelling of 10111112122120 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".