10111012102120 has 64 divisors (see below), whose sum is σ = 22993424064000. Its totient is φ = 4001167715328.

The previous prime is 10111012102117. The next prime is 10111012102127. The reversal of 10111012102120 is 2120121011101.

It is a happy number.

10111012102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10111012102120.

It is not an unprimeable number, because it can be changed into a prime (10111012102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940961 + ... + 5373199.

It is an arithmetic number, because the mean of its divisors is an integer number (359272251000).

Almost surely, 2^{10111012102120} is an apocalyptic number.

10111012102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111012102120 is an abundant number, since it is smaller than the sum of its proper divisors (12882411961880).

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

10111012102120 is a wasteful number, since it uses less digits than its factorization.

10111012102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433362 (or 2433358 counting only the distinct ones).

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

Adding to 10111012102120 its reverse (2120121011101), we get a palindrome (12231133113221).

The spelling of 10111012102120 in words is "ten trillion, one hundred eleven billion, twelve million, one hundred two thousand, one hundred twenty".