101387860671168 has 448 divisors, whose sum is σ = 313786576896000. Its totient is φ = 32059127697408.

The previous prime is 101387860671157. The next prime is 101387860671169. The reversal of 101387860671168 is 861176068783101.

101387860671168 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 7 + 8 + 606 + 7 + 1 + 16 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (101387860671169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655437738 + ... + 655592406.

Almost surely, 2^{101387860671168} is an apocalyptic number.

101387860671168 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 101387860671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156893288448000).

101387860671168 is an abundant number, since it is smaller than the sum of its proper divisors (212398716224832).

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

101387860671168 is a wasteful number, since it uses less digits than its factorization.

101387860671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154949 (or 154933 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 101387860671168 in words is "one hundred one trillion, three hundred eighty-seven billion, eight hundred sixty million, six hundred seventy-one thousand, one hundred sixty-eight".