100717309754881 has 2 divisors, whose sum is σ = 100717309754882. Its totient is φ = 100717309754880.

The previous prime is 100717309754861. The next prime is 100717309754891. The reversal of 100717309754881 is 188457903717001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99863866362481 + 853443392400 = 9993191^2 + 923820^2 .

It is a cyclic number.

It is not a de Polignac number, because 100717309754881 - 2⁷ = 100717309754753 is a prime.

It is a super-2 number, since 2×100717309754881² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100717309754801) 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 as a sum of consecutive naturals, namely, 50358654877440 + 50358654877441.

It is an arithmetic number, because the mean of its divisors is an integer number (50358654877441).

Almost surely, 2^{100717309754881} is an apocalyptic number.

It is an amenable number.

100717309754881 is a deficient number, since it is larger than the sum of its proper divisors (1).

100717309754881 is an equidigital number, since it uses as much as digits as its factorization.

100717309754881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 61.

The spelling of 100717309754881 in words is "one hundred trillion, seven hundred seventeen billion, three hundred nine million, seven hundred fifty-four thousand, eight hundred eighty-one".