2211210112217 has 2 divisors, whose sum is σ = 2211210112218. Its totient is φ = 2211210112216.

The previous prime is 2211210112213. The next prime is 2211210112219. The reversal of 2211210112217 is 7122110121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2198802602896 + 12407509321 = 1482836^2 + 111389^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211210112217 - 2² = 2211210112213 is a prime.

Together with 2211210112219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211210112192 and 2211210112201.

It is not a weakly prime, because it can be changed into another prime (2211210112213) 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, 1105605056108 + 1105605056109.

It is an arithmetic number, because the mean of its divisors is an integer number (1105605056109).

Almost surely, 2^{2211210112217} is an apocalyptic number.

It is an amenable number.

2211210112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211210112217 is an equidigital number, since it uses as much as digits as its factorization.

2211210112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 2211210112217 its reverse (7122110121122), we get a palindrome (9333320233339).

The spelling of 2211210112217 in words is "two trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, two hundred seventeen".