102000013221217 has 2 divisors, whose sum is σ = 102000013221218. Its totient is φ = 102000013221216.

The previous prime is 102000013221209. The next prime is 102000013221233. The reversal of 102000013221217 is 712122310000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90529592207616 + 11470421013601 = 9514704^2 + 3386801^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000013221217 - 2³ = 102000013221209 is a prime.

It is a super-2 number, since 2×102000013221217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102000013221277) 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, 51000006610608 + 51000006610609.

It is an arithmetic number, because the mean of its divisors is an integer number (51000006610609).

Almost surely, 2^{102000013221217} is an apocalyptic number.

It is an amenable number.

102000013221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000013221217 is an equidigital number, since it uses as much as digits as its factorization.

102000013221217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 102000013221217 its reverse (712122310000201), we get a palindrome (814122323221418).

The spelling of 102000013221217 in words is "one hundred two trillion, thirteen million, two hundred twenty-one thousand, two hundred seventeen".