221222022000121 has 2 divisors, whose sum is σ = 221222022000122. Its totient is φ = 221222022000120.

The previous prime is 221222022000073. The next prime is 221222022000149. The reversal of 221222022000121 is 121000220222122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147803857966521 + 73418164033600 = 12157461^2 + 8568440^2 .

It is a cyclic number.

It is not a de Polignac number, because 221222022000121 - 2¹¹ = 221222021998073 is a prime.

It is not a weakly prime, because it can be changed into another prime (221222022000151) 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, 110611011000060 + 110611011000061.

It is an arithmetic number, because the mean of its divisors is an integer number (110611011000061).

Almost surely, 2^{221222022000121} is an apocalyptic number.

It is an amenable number.

221222022000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221222022000121 is an equidigital number, since it uses as much as digits as its factorization.

221222022000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221222022000121 its reverse (121000220222122), we get a palindrome (342222242222243).

The spelling of 221222022000121 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-one", and thus it is an aban number.