10022013120 has 336 divisors, whose sum is σ = 37203827040. Its totient is φ = 2279079936.

The previous prime is 10022013101. The next prime is 10022013137. The reversal of 10022013120 is 2131022001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022013096 and 10022013105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12088866 + ... + 12089694.

Almost surely, 2^10022013120 is an apocalyptic number.

10022013120 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 10022013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601913520).

10022013120 is an abundant number, since it is smaller than the sum of its proper divisors (27181813920).

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

10022013120 is a wasteful number, since it uses less digits than its factorization.

10022013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10022013120 its reverse (2131022001), we get a palindrome (12153035121).

The spelling of 10022013120 in words is "ten billion, twenty-two million, thirteen thousand, one hundred twenty".