100721717565450 has 192 divisors, whose sum is σ = 262157554556928. Its totient is φ = 25561723219200.

The previous prime is 100721717565449. The next prime is 100721717565463. The reversal of 100721717565450 is 54565717127001.

It is a junction number, because it is equal to n+sod(n) for n = 100721717565393 and 100721717565402.

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, 434721135 + ... + 434952765.

It is an arithmetic number, because the mean of its divisors is an integer number (1365403929984).

Almost surely, 2^{100721717565450} is an apocalyptic number.

100721717565450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100721717565450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131078777278464).

100721717565450 is an abundant number, since it is smaller than the sum of its proper divisors (161435836991478).

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

100721717565450 is a wasteful number, since it uses less digits than its factorization.

100721717565450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233397 (or 233392 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 51.

The spelling of 100721717565450 in words is "one hundred trillion, seven hundred twenty-one billion, seven hundred seventeen million, five hundred sixty-five thousand, four hundred fifty".