10100112456 has 128 divisors (see below), whose sum is σ = 29502720000. Its totient is φ = 2880230976.

The previous prime is 10100112443. The next prime is 10100112457. The reversal of 10100112456 is 65421100101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10100112457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6477805 + ... + 6479363.

It is an arithmetic number, because the mean of its divisors is an integer number (230490000).

Almost surely, 2^10100112456 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 10100112456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751360000).

10100112456 is an abundant number, since it is smaller than the sum of its proper divisors (19402607544).

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

10100112456 is a wasteful number, since it uses less digits than its factorization.

10100112456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10100112456 its reverse (65421100101), we get a palindrome (75521212557).

The spelling of 10100112456 in words is "ten billion, one hundred million, one hundred twelve thousand, four hundred fifty-six".