101888079930 has 672 divisors, whose sum is σ = 354377059344. Its totient is φ = 20880986112.

The previous prime is 101888079919. The next prime is 101888079991. The reversal of 101888079930 is 39970888101.

It can be written as a sum of positive squares in 8 ways, for example, as 52905980169 + 48982099761 = 230013^2 + 221319^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 171817714 + ... + 171818306.

Almost surely, 2^101888079930 is an apocalyptic number.

101888079930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101888079930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177188529672).

101888079930 is an abundant number, since it is smaller than the sum of its proper divisors (252488979414).

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

101888079930 is a wasteful number, since it uses less digits than its factorization.

101888079930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 101888079930 in words is "one hundred one billion, eight hundred eighty-eight million, seventy-nine thousand, nine hundred thirty".