101315616192 has 168 divisors, whose sum is σ = 336843518336. Its totient is φ = 28515193344.

The previous prime is 101315616179. The next prime is 101315616211. The reversal of 101315616192 is 291616513101.

101315616192 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 561 + 6 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82623 + ... + 457665.

Almost surely, 2^101315616192 is an apocalyptic number.

101315616192 is a gapful number since it is divisible by the number (12) 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 101315616192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168421759168).

101315616192 is an abundant number, since it is smaller than the sum of its proper divisors (235527902144).

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

101315616192 is a wasteful number, since it uses less digits than its factorization.

101315616192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375135 (or 375122 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 101315616192 in words is "one hundred one billion, three hundred fifteen million, six hundred sixteen thousand, one hundred ninety-two".