22123112320321 has 2 divisors, whose sum is σ = 22123112320322. Its totient is φ = 22123112320320.

The previous prime is 22123112320303. The next prime is 22123112320327. The reversal of 22123112320321 is 12302321132122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21610225742400 + 512886577921 = 4648680^2 + 716161^2 .

It is a cyclic number.

It is not a de Polignac number, because 22123112320321 - 2⁵ = 22123112320289 is a prime.

It is not a weakly prime, because it can be changed into another prime (22123112320327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061556160160 + 11061556160161.

It is an arithmetic number, because the mean of its divisors is an integer number (11061556160161).

Almost surely, 2^{22123112320321} is an apocalyptic number.

It is an amenable number.

22123112320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123112320321 is an equidigital number, since it uses as much as digits as its factorization.

22123112320321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 22123112320321 its reverse (12302321132122), we get a palindrome (34425433452443).

The spelling of 22123112320321 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twelve million, three hundred twenty thousand, three hundred twenty-one".