101992951912336 has 45 divisors (see below), whose sum is σ = 209920730779219. Its totient is φ = 47996360079872.

The previous prime is 101992951912307. The next prime is 101992951912351. The reversal of 101992951912336 is 633219159299101.

The square root of 101992951912336 is 10099156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21661168072336 + 80331783840000 = 4654156^2 + 8962800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686668350 + ... + 686816866.

Almost surely, 2^{101992951912336} is an apocalyptic number.

101992951912336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101992951912336 is the 10099156-th square number.

It is an amenable number.

101992951912336 is an abundant number, since it is smaller than the sum of its proper divisors (107927778866883).

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

101992951912336 is an frugal number, since it uses more digits than its factorization.

101992951912336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297076 (or 148536 counting only the distinct ones).

The product of its (nonzero) digits is 7085880, while the sum is 61.

The spelling of 101992951912336 in words is "one hundred one trillion, nine hundred ninety-two billion, nine hundred fifty-one million, nine hundred twelve thousand, three hundred thirty-six".