1002112009968 has 20 divisors (see below), whose sum is σ = 2588789359208. Its totient is φ = 334037336640.

The previous prime is 1002112009967. The next prime is 1002112010021. The reversal of 1002112009968 is 8699002112001.

1002112009968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002112009968² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112009967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10438666723 + ... + 10438666818.

Almost surely, 2^{1002112009968} is an apocalyptic number.

It is an amenable number.

1002112009968 is an abundant number, since it is smaller than the sum of its proper divisors (1586677349240).

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

1002112009968 is a wasteful number, since it uses less digits than its factorization.

1002112009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20877333552 (or 20877333546 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 1002112009968 in words is "one trillion, two billion, one hundred twelve million, nine thousand, nine hundred sixty-eight".