10112111221120 has 64 divisors (see below), whose sum is σ = 24197534337600. Its totient is φ = 4040951205888.

The previous prime is 10112111221061. The next prime is 10112111221153. The reversal of 10112111221120 is 2112211121101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10112111221094 and 10112111221103.

It is a congruent number.

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, 6938589 + ... + 8268508.

It is an arithmetic number, because the mean of its divisors is an integer number (378086474025).

Almost surely, 2^{10112111221120} is an apocalyptic number.

10112111221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112111221120 is an abundant number, since it is smaller than the sum of its proper divisors (14085423116480).

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

10112111221120 is a wasteful number, since it uses less digits than its factorization.

10112111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15208155 (or 15208143 counting only the distinct ones).

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

Adding to 10112111221120 its reverse (2112211121101), we get a palindrome (12224322342221).

The spelling of 10112111221120 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".