22121122101217 has 2 divisors, whose sum is σ = 22121122101218. Its totient is φ = 22121122101216.

The previous prime is 22121122101193. The next prime is 22121122101223. The reversal of 22121122101217 is 71210122112122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19952936530641 + 2168185570576 = 4466871^2 + 1472476^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121122101217 - 2³⁵ = 22086762362849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22121122101191 and 22121122101200.

It is not a weakly prime, because it can be changed into another prime (22121122101017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060561050608 + 11060561050609.

It is an arithmetic number, because the mean of its divisors is an integer number (11060561050609).

Almost surely, 2^{22121122101217} is an apocalyptic number.

It is an amenable number.

22121122101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121122101217 is an equidigital number, since it uses as much as digits as its factorization.

22121122101217 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 25.

Adding to 22121122101217 its reverse (71210122112122), we get a palindrome (93331244213339).

The spelling of 22121122101217 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, two hundred seventeen".