101009928503880 has 384 divisors, whose sum is σ = 377006544720000. Its totient is φ = 23196502241280.

The previous prime is 101009928503821. The next prime is 101009928503923. The reversal of 101009928503880 is 88305829900101.

101009928503880 is a `hidden beast` number, since 1 + 0 + 100 + 9 + 9 + 28 + 503 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1016668446 + ... + 1016767794.

It is an arithmetic number, because the mean of its divisors is an integer number (981787876875).

Almost surely, 2^{101009928503880} is an apocalyptic number.

101009928503880 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 101009928503880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188503272360000).

101009928503880 is an abundant number, since it is smaller than the sum of its proper divisors (275996616216120).

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

101009928503880 is a wasteful number, since it uses less digits than its factorization.

101009928503880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112909 (or 112902 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 101009928503880 in words is "one hundred one trillion, nine billion, nine hundred twenty-eight million, five hundred three thousand, eight hundred eighty".