100972801702080 has 3024 divisors, whose sum is σ = 474747018520320. Its totient is φ = 19227397939200.

The previous prime is 100972801702039. The next prime is 100972801702093. The reversal of 100972801702080 is 80207108279001.

100972801702080 is a `hidden beast` number, since 10 + 0 + 97 + 280 + 1 + 70 + 208 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 44540273107 + ... + 44540275373.

It is an arithmetic number, because the mean of its divisors is an integer number (156993061680).

Almost surely, 2^{100972801702080} is an apocalyptic number.

100972801702080 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 100972801702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237373509260160).

100972801702080 is an abundant number, since it is smaller than the sum of its proper divisors (373774216818240).

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

100972801702080 is a wasteful number, since it uses less digits than its factorization.

100972801702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 100972801702080 in words is "one hundred trillion, nine hundred seventy-two billion, eight hundred one million, seven hundred two thousand, eighty".