101881502409792 has 112 divisors (see below), whose sum is σ = 315234682053632. Its totient is φ = 28432047168000.

The previous prime is 101881502409773. The next prime is 101881502409899. The reversal of 101881502409792 is 297904205188101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881392084 + ... + 881507667.

Almost surely, 2^{101881502409792} is an apocalyptic number.

101881502409792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101881502409792 is an abundant number, since it is smaller than the sum of its proper divisors (213353179643840).

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

101881502409792 is a wasteful number, since it uses less digits than its factorization.

101881502409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762899816 (or 1762899806 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 101881502409792 in words is "one hundred one trillion, eight hundred eighty-one billion, five hundred two million, four hundred nine thousand, seven hundred ninety-two".