101886793472772 has 240 divisors, whose sum is σ = 351609327957888. Its totient is φ = 24907390202880.

The previous prime is 101886793472749. The next prime is 101886793472833. The reversal of 101886793472772 is 277274397688101.

101886793472772 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 8 + 6 + 7 + 9 + 347 + 277 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101886793472772.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119692543 + ... + 120540774.

Almost surely, 2^{101886793472772} is an apocalyptic number.

101886793472772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101886793472772 is an abundant number, since it is smaller than the sum of its proper divisors (249722534485116).

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

101886793472772 is a wasteful number, since it uses less digits than its factorization.

101886793472772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240233368 (or 240233357 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 101886793472772 in words is "one hundred one trillion, eight hundred eighty-six billion, seven hundred ninety-three million, four hundred seventy-two thousand, seven hundred seventy-two".