100221116817817 has 2 divisors, whose sum is σ = 100221116817818. Its totient is φ = 100221116817816.

The previous prime is 100221116817779. The next prime is 100221116817839. The reversal of 100221116817817 is 718718611122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57947050391616 + 42274066426201 = 7612296^2 + 6501851^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221116817817 - 2¹¹ = 100221116815769 is a prime.

It is not a weakly prime, because it can be changed into another prime (100221116887817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110558408908 + 50110558408909.

It is an arithmetic number, because the mean of its divisors is an integer number (50110558408909).

Almost surely, 2^{100221116817817} is an apocalyptic number.

It is an amenable number.

100221116817817 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221116817817 is an equidigital number, since it uses as much as digits as its factorization.

100221116817817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 46.

Adding to 100221116817817 its reverse (718718611122001), we get a palindrome (818939727939818).

The spelling of 100221116817817 in words is "one hundred trillion, two hundred twenty-one billion, one hundred sixteen million, eight hundred seventeen thousand, eight hundred seventeen".