2122210102217 has 2 divisors, whose sum is σ = 2122210102218. Its totient is φ = 2122210102216.

The previous prime is 2122210102157. The next prime is 2122210102219. The reversal of 2122210102217 is 7122010122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1651903549696 + 470306552521 = 1285264^2 + 685789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122210102217 is a prime.

Together with 2122210102219, 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 = 2122210102192 and 2122210102201.

It is not a weakly prime, because it can be changed into another prime (2122210102219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061105051108 + 1061105051109.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105051109).

Almost surely, 2^{2122210102217} is an apocalyptic number.

It is an amenable number.

2122210102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210102217 is an equidigital number, since it uses as much as digits as its factorization.

2122210102217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 2122210102217 its reverse (7122010122212), we get a palindrome (9244220224429).

The spelling of 2122210102217 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred two thousand, two hundred seventeen".