10112020000960 has 112 divisors (see below), whose sum is σ = 25141894782912. Its totient is φ = 3866525696000.

The previous prime is 10112020000909. The next prime is 10112020000961. The reversal of 10112020000960 is 6900002021101.

It is not an unprimeable number, because it can be changed into a prime (10112020000961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11354280 + ... + 12212440.

Almost surely, 2^{10112020000960} is an apocalyptic number.

10112020000960 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 10112020000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570947391456).

10112020000960 is an abundant number, since it is smaller than the sum of its proper divisors (15029874781952).

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

10112020000960 is a wasteful number, since it uses less digits than its factorization.

10112020000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859802 (or 859792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10112020000960 in words is "ten trillion, one hundred twelve billion, twenty million, nine hundred sixty", and thus it is an aban number.