101198774880 has 576 divisors, whose sum is σ = 404599104000. Its totient is φ = 23024010240.

The previous prime is 101198774863. The next prime is 101198774899. The reversal of 101198774880 is 88477891101.

101198774880 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 98 + 77 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163487211 + ... + 163487829.

It is an arithmetic number, because the mean of its divisors is an integer number (702429000).

Almost surely, 2^101198774880 is an apocalyptic number.

101198774880 is a gapful number since it is divisible by the number (10) 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 101198774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299552000).

101198774880 is an abundant number, since it is smaller than the sum of its proper divisors (303400329120).

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

101198774880 is a wasteful number, since it uses less digits than its factorization.

101198774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 101198774880 in words is "one hundred one billion, one hundred ninety-eight million, seven hundred seventy-four thousand, eight hundred eighty".