22121122102241 has 2 divisors, whose sum is σ = 22121122102242. Its totient is φ = 22121122102240.

The previous prime is 22121122102199. The next prime is 22121122102243. The reversal of 22121122102241 is 14220122112122.

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., 20421397152016 + 1699724950225 = 4519004^2 + 1303735^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121122102241 - 2¹⁰ = 22121122101217 is a prime.

Together with 22121122102243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22121122102243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060561051120 + 11060561051121.

It is an arithmetic number, because the mean of its divisors is an integer number (11060561051121).

Almost surely, 2^{22121122102241} is an apocalyptic number.

It is an amenable number.

22121122102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121122102241 is an equidigital number, since it uses as much as digits as its factorization.

22121122102241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 22121122102241 its reverse (14220122112122), we get a palindrome (36341244214363).

The spelling of 22121122102241 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred forty-one".