12212101221217 has 2 divisors, whose sum is σ = 12212101221218. Its totient is φ = 12212101221216.

The previous prime is 12212101221193. The next prime is 12212101221253. The reversal of 12212101221217 is 71212210121221.

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., 9490841879841 + 2721259341376 = 3080721^2 + 1649624^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212101221217 - 2¹¹ = 12212101219169 is a prime.

It is a super-2 number, since 2×12212101221217² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12212101221191 and 12212101221200.

It is not a weakly prime, because it can be changed into another prime (12218101221217) 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, 6106050610608 + 6106050610609.

It is an arithmetic number, because the mean of its divisors is an integer number (6106050610609).

Almost surely, 2^{12212101221217} is an apocalyptic number.

It is an amenable number.

12212101221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212101221217 is an equidigital number, since it uses as much as digits as its factorization.

12212101221217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 12212101221217 its reverse (71212210121221), we get a palindrome (83424311342438).

The spelling of 12212101221217 in words is "twelve trillion, two hundred twelve billion, one hundred one million, two hundred twenty-one thousand, two hundred seventeen".