10205041332817 has 2 divisors, whose sum is σ = 10205041332818. Its totient is φ = 10205041332816.

The previous prime is 10205041332721. The next prime is 10205041332821. The reversal of 10205041332817 is 71823314050201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8429261215761 + 1775780117056 = 2903319^2 + 1332584^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205041332817 - 2¹⁵ = 10205041300049 is a prime.

It is a super-2 number, since 2×10205041332817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10205041332517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102520666408 + 5102520666409.

It is an arithmetic number, because the mean of its divisors is an integer number (5102520666409).

Almost surely, 2^{10205041332817} is an apocalyptic number.

It is an amenable number.

10205041332817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205041332817 is an equidigital number, since it uses as much as digits as its factorization.

10205041332817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10205041332817 in words is "ten trillion, two hundred five billion, forty-one million, three hundred thirty-two thousand, eight hundred seventeen".