101660220965 has 16 divisors (see below), whose sum is σ = 122353426800. Its totient is φ = 81087724032.

The previous prime is 101660220919. The next prime is 101660220971. The reversal of 101660220965 is 569022066101.

It is a Cunningham number, because it is equal to 318842²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3877054756 + 97783166209 = 62266^2 + 312703^2 .

It is a cyclic number.

It is not a de Polignac number, because 101660220965 - 2¹⁸ = 101659958821 is a prime.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2609651 + ... + 2648319.

It is an arithmetic number, because the mean of its divisors is an integer number (7647089175).

Almost surely, 2^101660220965 is an apocalyptic number.

It is an amenable number.

101660220965 is a deficient number, since it is larger than the sum of its proper divisors (20693205835).

101660220965 is a wasteful number, since it uses less digits than its factorization.

101660220965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40216.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 101660220965 in words is "one hundred one billion, six hundred sixty million, two hundred twenty thousand, nine hundred sixty-five".