10120010056 has 64 divisors (see below), whose sum is σ = 21394497600. Its totient is φ = 4455268608.

The previous prime is 10120010023. The next prime is 10120010057. The reversal of 10120010056 is 65001002101.

It is a happy number.

It is a super-2 number, since 2×10120010056² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120010057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230115 + ... + 270541.

It is an arithmetic number, because the mean of its divisors is an integer number (334289025).

Almost surely, 2^10120010056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120010056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697248800).

10120010056 is an abundant number, since it is smaller than the sum of its proper divisors (11274487544).

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

10120010056 is a wasteful number, since it uses less digits than its factorization.

10120010056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40558 (or 40554 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10120010056 its reverse (65001002101), we get a palindrome (75121012157).

The spelling of 10120010056 in words is "ten billion, one hundred twenty million, ten thousand, fifty-six".