101979172080 has 480 divisors, whose sum is σ = 365536604160. Its totient is φ = 25440583680.

The previous prime is 101979171997. The next prime is 101979172091. The reversal of 101979172080 is 80271979101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 79732881 + ... + 79734159.

It is an arithmetic number, because the mean of its divisors is an integer number (761534592).

Almost surely, 2^101979172080 is an apocalyptic number.

101979172080 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 101979172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182768302080).

101979172080 is an abundant number, since it is smaller than the sum of its proper divisors (263557432080).

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

101979172080 is a wasteful number, since it uses less digits than its factorization.

101979172080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 101979172080 in words is "one hundred one billion, nine hundred seventy-nine million, one hundred seventy-two thousand, eighty".