101961688520564 has 12 divisors (see below), whose sum is σ = 178636413246564. Its totient is φ = 50922713307264.

The previous prime is 101961688520543. The next prime is 101961688520717. The reversal of 101961688520564 is 465025886169101.

It can be written as a sum of positive squares in 2 ways, for example, as 41494081728100 + 60467606792464 = 6441590^2 + 7776092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101961688520497 and 101961688520506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14532734309 + ... + 14532741324.

It is an arithmetic number, because the mean of its divisors is an integer number (14886367770547).

Almost surely, 2^{101961688520564} is an apocalyptic number.

It is an amenable number.

101961688520564 is a deficient number, since it is larger than the sum of its proper divisors (76674724726000).

101961688520564 is a wasteful number, since it uses less digits than its factorization.

101961688520564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29065476514 (or 29065476512 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 62.

The spelling of 101961688520564 in words is "one hundred one trillion, nine hundred sixty-one billion, six hundred eighty-eight million, five hundred twenty thousand, five hundred sixty-four".