101075537086817 has 2 divisors, whose sum is σ = 101075537086818. Its totient is φ = 101075537086816.

The previous prime is 101075537086787. The next prime is 101075537086859. The reversal of 101075537086817 is 718680735570101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60634191945616 + 40441345141201 = 7786796^2 + 6359351^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075537086817 - 2²⁸ = 101075268651361 is a prime.

It is not a weakly prime, because it can be changed into another prime (101075537046817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50537768543408 + 50537768543409.

It is an arithmetic number, because the mean of its divisors is an integer number (50537768543409).

Almost surely, 2^{101075537086817} is an apocalyptic number.

It is an amenable number.

101075537086817 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075537086817 is an equidigital number, since it uses as much as digits as its factorization.

101075537086817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9878400, while the sum is 59.

The spelling of 101075537086817 in words is "one hundred one trillion, seventy-five billion, five hundred thirty-seven million, eighty-six thousand, eight hundred seventeen".