321222141222121 has 2 divisors, whose sum is σ = 321222141222122. Its totient is φ = 321222141222120.

The previous prime is 321222141222119. The next prime is 321222141222127. The reversal of 321222141222121 is 121222141222123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281010372596496 + 40211768625625 = 16763364^2 + 6341275^2 .

It is an emirp because it is prime and its reverse (121222141222123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321222141222121 - 2¹ = 321222141222119 is a prime.

It is a super-2 number, since 2×321222141222121² (a number of 30 digits) contains 22 as substring.

Together with 321222141222119, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 321222141222121.

It is not a weakly prime, because it can be changed into another prime (321222141222127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160611070611060 + 160611070611061.

It is an arithmetic number, because the mean of its divisors is an integer number (160611070611061).

Almost surely, 2^{321222141222121} is an apocalyptic number.

It is an amenable number.

321222141222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

321222141222121 is an equidigital number, since it uses as much as digits as its factorization.

321222141222121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 28.

Adding to 321222141222121 its reverse (121222141222123), we get a palindrome (442444282444244).

The spelling of 321222141222121 in words is "three hundred twenty-one trillion, two hundred twenty-two billion, one hundred forty-one million, two hundred twenty-two thousand, one hundred twenty-one".