22011212331221 has 2 divisors, whose sum is σ = 22011212331222. Its totient is φ = 22011212331220.

The previous prime is 22011212331211. The next prime is 22011212331223. The reversal of 22011212331221 is 12213321211022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20273136604900 + 1738075726321 = 4502570^2 + 1318361^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011212331221 - 2¹⁰ = 22011212330197 is a prime.

It is a super-2 number, since 2×22011212331221² (a number of 27 digits) contains 22 as substring.

Together with 22011212331223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22011212331223) 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, 11005606165610 + 11005606165611.

It is an arithmetic number, because the mean of its divisors is an integer number (11005606165611).

Almost surely, 2^{22011212331221} is an apocalyptic number.

It is an amenable number.

22011212331221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011212331221 is an equidigital number, since it uses as much as digits as its factorization.

22011212331221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 22011212331221 its reverse (12213321211022), we get a palindrome (34224533542243).

The spelling of 22011212331221 in words is "twenty-two trillion, eleven billion, two hundred twelve million, three hundred thirty-one thousand, two hundred twenty-one".