101238663168 has 288 divisors, whose sum is σ = 307614827520. Its totient is φ = 32031866880.

The previous prime is 101238663157. The next prime is 101238663179. The reversal of 101238663168 is 861366832101.

101238663168 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 8 + 6 + 631 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (101238663157) and next prime (101238663179).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30282105 + ... + 30285447.

It is an arithmetic number, because the mean of its divisors is an integer number (1068107040).

Almost surely, 2^101238663168 is an apocalyptic number.

101238663168 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 101238663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153807413760).

101238663168 is an abundant number, since it is smaller than the sum of its proper divisors (206376164352).

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

101238663168 is a wasteful number, since it uses less digits than its factorization.

101238663168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 101238663168 in words is "one hundred one billion, two hundred thirty-eight million, six hundred sixty-three thousand, one hundred sixty-eight".