101888661888 has 256 divisors, whose sum is σ = 340892160000. Its totient is φ = 29700089856.

The previous prime is 101888661887. The next prime is 101888661893. The reversal of 101888661888 is 888166888101.

101888661888 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 8 + 8 + 6 + 618 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101888661887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793953 + ... + 913311.

It is an arithmetic number, because the mean of its divisors is an integer number (1331610000).

Almost surely, 2^101888661888 is an apocalyptic number.

101888661888 is a gapful number since it is divisible by the number (18) 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 101888661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170446080000).

101888661888 is an abundant number, since it is smaller than the sum of its proper divisors (239003498112).

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

101888661888 is a wasteful number, since it uses less digits than its factorization.

101888661888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119414 (or 119396 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 63.

The spelling of 101888661888 in words is "one hundred one billion, eight hundred eighty-eight million, six hundred sixty-one thousand, eight hundred eighty-eight".