101008981032960 has 2176 divisors, whose sum is σ = 452952385191936. Its totient is φ = 18527834603520.

The previous prime is 101008981032887. The next prime is 101008981032977. The reversal of 101008981032960 is 69230189800101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22632527689 + ... + 22632532151.

Almost surely, 2^{101008981032960} is an apocalyptic number.

101008981032960 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 101008981032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226476192595968).

101008981032960 is an abundant number, since it is smaller than the sum of its proper divisors (351943404158976).

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

101008981032960 is a wasteful number, since it uses less digits than its factorization.

101008981032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 101008981032960 in words is "one hundred one trillion, eight billion, nine hundred eighty-one million, thirty-two thousand, nine hundred sixty".