101085585561 has 24 divisors (see below), whose sum is σ = 152197021184. Its totient is φ = 64590372000.

The previous prime is 101085585551. The next prime is 101085585607. The reversal of 101085585561 is 165585580101.

101085585561 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 8 + 5 + 5 + 85 + 561 = 666.

It is not a de Polignac number, because 101085585561 - 2²¹ = 101083488409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101085585541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243065 + ... + 2287686.

Almost surely, 2^101085585561 is an apocalyptic number.

It is an amenable number.

101085585561 is a deficient number, since it is larger than the sum of its proper divisors (51111435623).

101085585561 is a wasteful number, since it uses less digits than its factorization.

101085585561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530861 (or 4530858 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 45.

The spelling of 101085585561 in words is "one hundred one billion, eighty-five million, five hundred eighty-five thousand, five hundred sixty-one".