100065244021217 has 2 divisors, whose sum is σ = 100065244021218. Its totient is φ = 100065244021216.

The previous prime is 100065244021201. The next prime is 100065244021289. The reversal of 100065244021217 is 712120442560001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96098789394001 + 3966454627216 = 9802999^2 + 1991596^2 .

It is a cyclic number.

It is not a de Polignac number, because 100065244021217 - 2⁴ = 100065244021201 is a prime.

It is a super-2 number, since 2×100065244021217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100065244021297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50032622010608 + 50032622010609.

It is an arithmetic number, because the mean of its divisors is an integer number (50032622010609).

Almost surely, 2^{100065244021217} is an apocalyptic number.

It is an amenable number.

100065244021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100065244021217 is an equidigital number, since it uses as much as digits as its factorization.

100065244021217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 100065244021217 its reverse (712120442560001), we get a palindrome (812185686581218).

The spelling of 100065244021217 in words is "one hundred trillion, sixty-five billion, two hundred forty-four million, twenty-one thousand, two hundred seventeen".