100721722323528 has 192 divisors, whose sum is σ = 286400711001600. Its totient is φ = 31935676032000.

The previous prime is 100721722323493. The next prime is 100721722323689. The reversal of 100721722323528 is 825323227127001.

100721722323528 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 21 + 72 + 2 + 32 + 3 + 528 = 666.

100721722323528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100721722323528³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003544068 + ... + 1003644428.

It is an arithmetic number, because the mean of its divisors is an integer number (1491670369800).

Almost surely, 2^{100721722323528} is an apocalyptic number.

100721722323528 is a gapful number since it is divisible by the number (18) 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 100721722323528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143200355500800).

100721722323528 is an abundant number, since it is smaller than the sum of its proper divisors (185678988678072).

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

100721722323528 is a wasteful number, since it uses less digits than its factorization.

100721722323528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108084 (or 108077 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 100721722323528 in words is "one hundred trillion, seven hundred twenty-one billion, seven hundred twenty-two million, three hundred twenty-three thousand, five hundred twenty-eight".