101791872000 has 1056 divisors, whose sum is σ = 451928865024. Its totient is φ = 21454848000.

The previous prime is 101791871999. The next prime is 101791872019. The reversal of 101791872000 is 278197101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104831515 + ... + 104832485.

Almost surely, 2^101791872000 is an apocalyptic number.

101791872000 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 101791872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225964432512).

101791872000 is an abundant number, since it is smaller than the sum of its proper divisors (350136993024).

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

101791872000 is a wasteful number, since it uses less digits than its factorization.

101791872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 101791872000 in words is "one hundred one billion, seven hundred ninety-one million, eight hundred seventy-two thousand".