100517334210857 has 2 divisors, whose sum is σ = 100517334210858. Its totient is φ = 100517334210856.

The previous prime is 100517334210841. The next prime is 100517334210863. The reversal of 100517334210857 is 758012433715001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75907638825001 + 24609695385856 = 8712499^2 + 4960816^2 .

It is a cyclic number.

It is not a de Polignac number, because 100517334210857 - 2⁴ = 100517334210841 is a prime.

It is not a weakly prime, because it can be changed into another prime (100517334210827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50258667105428 + 50258667105429.

It is an arithmetic number, because the mean of its divisors is an integer number (50258667105429).

Almost surely, 2^{100517334210857} is an apocalyptic number.

It is an amenable number.

100517334210857 is a deficient number, since it is larger than the sum of its proper divisors (1).

100517334210857 is an equidigital number, since it uses as much as digits as its factorization.

100517334210857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 47.

Adding to 100517334210857 its reverse (758012433715001), we get a palindrome (858529767925858).

The spelling of 100517334210857 in words is "one hundred trillion, five hundred seventeen billion, three hundred thirty-four million, two hundred ten thousand, eight hundred fifty-seven".