100011000097960 has 256 divisors, whose sum is σ = 260513063239680. Its totient is φ = 33847165440000.

The previous prime is 100011000097901. The next prime is 100011000097961. The reversal of 100011000097960 is 69790000110001.

It is not an unprimeable number, because it can be changed into a prime (100011000097961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8002794432 + ... + 8002806928.

It is an arithmetic number, because the mean of its divisors is an integer number (1017629153280).

Almost surely, 2^{100011000097960} is an apocalyptic number.

100011000097960 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 100011000097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130256531619840).

100011000097960 is an abundant number, since it is smaller than the sum of its proper divisors (160502063141720).

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

100011000097960 is a wasteful number, since it uses less digits than its factorization.

100011000097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13844 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

The spelling of 100011000097960 in words is "one hundred trillion, eleven billion, ninety-seven thousand, nine hundred sixty".