101020886304 has 192 divisors, whose sum is σ = 298408852224. Its totient is φ = 29690597376.

The previous prime is 101020886297. The next prime is 101020886321. The reversal of 101020886304 is 403688020101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25171402 + ... + 25175414.

It is an arithmetic number, because the mean of its divisors is an integer number (1554212772).

Almost surely, 2^101020886304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149204426112).

101020886304 is an abundant number, since it is smaller than the sum of its proper divisors (197387965920).

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

101020886304 is a wasteful number, since it uses less digits than its factorization.

101020886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 101020886304 in words is "one hundred one billion, twenty million, eight hundred eighty-six thousand, three hundred four".