1020113022120 has 256 divisors, whose sum is σ = 3253528166400. Its totient is φ = 254990438400.

The previous prime is 1020113022113. The next prime is 1020113022143. The reversal of 1020113022120 is 212203110201.

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 1020113022120.

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, 886283545 + ... + 886284695.

It is an arithmetic number, because the mean of its divisors is an integer number (12709094400).

Almost surely, 2^{1020113022120} is an apocalyptic number.

1020113022120 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 1020113022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626764083200).

1020113022120 is an abundant number, since it is smaller than the sum of its proper divisors (2233415144280).

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

1020113022120 is a wasteful number, since it uses less digits than its factorization.

1020113022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020113022120 its reverse (212203110201), we get a palindrome (1232316132321).

The spelling of 1020113022120 in words is "one trillion, twenty billion, one hundred thirteen million, twenty-two thousand, one hundred twenty".