101861668917 has 24 divisors (see below), whose sum is σ = 147919449600. Its totient is φ = 67545260640.

The previous prime is 101861668877. The next prime is 101861668927. The reversal of 101861668917 is 719866168101.

101861668917 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 616 + 6 + 8 + 9 + 17 = 666.

It is not a de Polignac number, because 101861668917 - 2⁸ = 101861668661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101861668927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7384567 + ... + 7398347.

It is an arithmetic number, because the mean of its divisors is an integer number (6163310400).

Almost surely, 2^101861668917 is an apocalyptic number.

It is an amenable number.

101861668917 is a deficient number, since it is larger than the sum of its proper divisors (46057780683).

101861668917 is a wasteful number, since it uses less digits than its factorization.

101861668917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113 (or 18110 counting only the distinct ones).

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

The spelling of 101861668917 in words is "one hundred one billion, eight hundred sixty-one million, six hundred sixty-eight thousand, nine hundred seventeen".