10220113311120 has 120 divisors (see below), whose sum is σ = 34332045182136. Its totient is φ = 2724609368064.

The previous prime is 10220113311103. The next prime is 10220113311127. The reversal of 10220113311120 is 2111331102201.

10220113311120 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 1 + 331 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 711721700496 + 9508391610624 = 843636^2 + 3083568^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220113311093 and 10220113311102.

It is not an unprimeable number, because it can be changed into a prime (10220113311127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642034 + ... + 4566446.

Almost surely, 2^{10220113311120} is an apocalyptic number.

10220113311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220113311120 is an abundant number, since it is smaller than the sum of its proper divisors (24111931871016).

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

10220113311120 is a wasteful number, since it uses less digits than its factorization.

10220113311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928049 (or 3928040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10220113311120 its reverse (2111331102201), we get a palindrome (12331444413321).

The spelling of 10220113311120 in words is "ten trillion, two hundred twenty billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty".