101647537440561 has 12 divisors (see below), whose sum is σ = 167799109425792. Its totient is φ = 58084307108856.

The previous prime is 101647537440551. The next prime is 101647537440587. The reversal of 101647537440561 is 165044735746101.

It is a happy number.

101647537440561 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 4 + 7 + 5 + 3 + 74 + 4 + 0 + 561 = 666.

It is not a de Polignac number, because 101647537440561 - 2¹⁰ = 101647537439537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101647537440498 and 101647537440507.

It is not an unprimeable number, because it can be changed into a prime (101647537440511) 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 11 ways as a sum of consecutive naturals, for example, 806726487561 + ... + 806726487686.

It is an arithmetic number, because the mean of its divisors is an integer number (13983259118816).

Almost surely, 2^{101647537440561} is an apocalyptic number.

It is an amenable number.

101647537440561 is a deficient number, since it is larger than the sum of its proper divisors (66151571985231).

101647537440561 is a wasteful number, since it uses less digits than its factorization.

101647537440561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613452975260 (or 1613452975257 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 101647537440561 in words is "one hundred one trillion, six hundred forty-seven billion, five hundred thirty-seven million, four hundred forty thousand, five hundred sixty-one".