101620526561 has 8 divisors (see below), whose sum is σ = 109887528960. Its totient is φ = 93607893568.

The previous prime is 101620526543. The next prime is 101620526563. The reversal of 101620526561 is 165625026101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101620526561 - 2¹⁴ = 101620510177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101620526563) 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 7 ways as a sum of consecutive naturals, for example, 63591521 + ... + 63593118.

It is an arithmetic number, because the mean of its divisors is an integer number (13735941120).

Almost surely, 2^101620526561 is an apocalyptic number.

It is an amenable number.

101620526561 is a deficient number, since it is larger than the sum of its proper divisors (8267002399).

101620526561 is a wasteful number, since it uses less digits than its factorization.

101620526561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127184703.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 101620526561 in words is "one hundred one billion, six hundred twenty million, five hundred twenty-six thousand, five hundred sixty-one".