10112111220120 has 256 divisors, whose sum is σ = 37346644823040. Its totient is φ = 2132994705408.

The previous prime is 10112111220053. The next prime is 10112111220137. The reversal of 10112111220120 is 2102211121101.

It is a happy number.

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 10112111220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42983934 + ... + 43218546.

It is an arithmetic number, because the mean of its divisors is an integer number (145885331340).

Almost surely, 2^{10112111220120} is an apocalyptic number.

10112111220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112111220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673322411520).

10112111220120 is an abundant number, since it is smaller than the sum of its proper divisors (27234533602920).

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

10112111220120 is a wasteful number, since it uses less digits than its factorization.

10112111220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238594 (or 238590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112111220120 its reverse (2102211121101), we get a palindrome (12214322341221).

The spelling of 10112111220120 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".