101561656001 has 16 divisors (see below), whose sum is σ = 115905278160. Its totient is φ = 88308756480.

The previous prime is 101561655973. The next prime is 101561656039. The reversal of 101561656001 is 100656165101.

It can be written as a sum of positive squares in 8 ways, for example, as 47447730625 + 54113925376 = 217825^2 + 232624^2 .

It is a cyclic number.

It is not a de Polignac number, because 101561656001 - 2¹⁴ = 101561639617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101561656201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3269840 + ... + 3300753.

It is an arithmetic number, because the mean of its divisors is an integer number (7244079885).

Almost surely, 2^101561656001 is an apocalyptic number.

It is an amenable number.

101561656001 is a deficient number, since it is larger than the sum of its proper divisors (14343622159).

101561656001 is a wasteful number, since it uses less digits than its factorization.

101561656001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570676.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 101561656001 in words is "one hundred one billion, five hundred sixty-one million, six hundred fifty-six thousand, one".