22121122002241 has 2 divisors, whose sum is σ = 22121122002242. Its totient is φ = 22121122002240.

The previous prime is 22121122002193. The next prime is 22121122002253. The reversal of 22121122002241 is 14220022112122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22020635538225 + 100486464016 = 4692615^2 + 316996^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121122002241 - 2³⁵ = 22086762263873 is a prime.

It is not a weakly prime, because it can be changed into another prime (22121122006241) 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, 11060561001120 + 11060561001121.

It is an arithmetic number, because the mean of its divisors is an integer number (11060561001121).

Almost surely, 2^{22121122002241} is an apocalyptic number.

It is an amenable number.

22121122002241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121122002241 is an equidigital number, since it uses as much as digits as its factorization.

22121122002241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 22121122002241 its reverse (14220022112122), we get a palindrome (36341144114363).

The spelling of 22121122002241 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, two thousand, two hundred forty-one".