101369838076992 has 140 divisors (see below), whose sum is σ = 300544660475136. Its totient is φ = 33784019516160.

The previous prime is 101369838076973. The next prime is 101369838077033. The reversal of 101369838076992 is 299670838963101.

101369838076992 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 98 + 380 + 76 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 101369838076992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27893833 + ... + 31317815.

Almost surely, 2^{101369838076992} is an apocalyptic number.

101369838076992 is a gapful number since it is divisible by the number (12) 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 101369838076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150272330237568).

101369838076992 is an abundant number, since it is smaller than the sum of its proper divisors (199174822398144).

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

101369838076992 is an equidigital number, since it uses as much as digits as its factorization.

101369838076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429718 (or 3429699 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 101369838076992 in words is "one hundred one trillion, three hundred sixty-nine billion, eight hundred thirty-eight million, seventy-six thousand, nine hundred ninety-two".