101330091510912 has 512 divisors, whose sum is σ = 331409115878400. Its totient is φ = 30221527818240.

The previous prime is 101330091510899. The next prime is 101330091511007. The reversal of 101330091510912 is 219015190033101.

101330091510912 is a `hidden beast` number, since 1 + 0 + 13 + 30 + 0 + 91 + 510 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3038640223 + ... + 3038673569.

It is an arithmetic number, because the mean of its divisors is an integer number (647283429450).

Almost surely, 2^{101330091510912} is an apocalyptic number.

101330091510912 is a gapful number since it is divisible by the number (12) 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 101330091510912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165704557939200).

101330091510912 is an abundant number, since it is smaller than the sum of its proper divisors (230079024367488).

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

101330091510912 is a wasteful number, since it uses less digits than its factorization.

101330091510912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34641 (or 34623 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 101330091510912 in words is "one hundred one trillion, three hundred thirty billion, ninety-one million, five hundred ten thousand, nine hundred twelve".