100116721557504 has 896 divisors, whose sum is σ = 314857332956160. Its totient is φ = 31399280640000.

The previous prime is 100116721557493. The next prime is 100116721557569. The reversal of 100116721557504 is 405755127611001.

100116721557504 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 6 + 72 + 1 + 5 + 575 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100116721557504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30795667879 + ... + 30795671129.

Almost surely, 2^{100116721557504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100116721557504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157428666478080).

100116721557504 is an abundant number, since it is smaller than the sum of its proper divisors (214740611398656).

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

100116721557504 is an equidigital number, since it uses as much as digits as its factorization.

100116721557504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 100116721557504 in words is "one hundred trillion, one hundred sixteen billion, seven hundred twenty-one million, five hundred fifty-seven thousand, five hundred four".