100221311321317 has 2 divisors, whose sum is σ = 100221311321318. Its totient is φ = 100221311321316.

The previous prime is 100221311321311. The next prime is 100221311321363. The reversal of 100221311321317 is 713123113122001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82356369151681 + 17864942169636 = 9075041^2 + 4226694^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221311321317 is a prime.

It is a super-2 number, since 2×100221311321317² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221311321311) 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, 50110655660658 + 50110655660659.

It is an arithmetic number, because the mean of its divisors is an integer number (50110655660659).

Almost surely, 2^{100221311321317} is an apocalyptic number.

It is an amenable number.

100221311321317 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221311321317 is an equidigital number, since it uses as much as digits as its factorization.

100221311321317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 100221311321317 its reverse (713123113122001), we get a palindrome (813344424443318).

The spelling of 100221311321317 in words is "one hundred trillion, two hundred twenty-one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred seventeen".