212122022122121 has 2 divisors, whose sum is σ = 212122022122122. Its totient is φ = 212122022122120.

The previous prime is 212122022122099. The next prime is 212122022122189. The reversal of 212122022122121 is 121221220221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211526161635721 + 595860486400 = 14543939^2 + 771920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212122022122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122022172121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061011061060 + 106061011061061.

It is an arithmetic number, because the mean of its divisors is an integer number (106061011061061).

Almost surely, 2^{212122022122121} is an apocalyptic number.

It is an amenable number.

212122022122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122022122121 is an equidigital number, since it uses as much as digits as its factorization.

212122022122121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212122022122121 its reverse (121221220221212), we get a palindrome (333343242343333).

The spelling of 212122022122121 in words is "two hundred twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".