100377159966720 has 1120 divisors, whose sum is σ = 442892091616128. Its totient is φ = 21178414006272.

The previous prime is 100377159966667. The next prime is 100377159966731. The reversal of 100377159966720 is 27669951773001.

100377159966720 is a `hidden beast` number, since 1 + 0 + 0 + 37 + 7 + 1 + 599 + 6 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301749927 + ... + 302082393.

Almost surely, 2^{100377159966720} is an apocalyptic number.

100377159966720 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 100377159966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221446045808064).

100377159966720 is an abundant number, since it is smaller than the sum of its proper divisors (342514931649408).

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

100377159966720 is an equidigital number, since it uses as much as digits as its factorization.

100377159966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332530 (or 332497 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 100377159966720 in words is "one hundred trillion, three hundred seventy-seven billion, one hundred fifty-nine million, nine hundred sixty-six thousand, seven hundred twenty".