212211221223121 has 2 divisors, whose sum is σ = 212211221223122. Its totient is φ = 212211221223120.

The previous prime is 212211221223119. The next prime is 212211221223139. The reversal of 212211221223121 is 121322122112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199214734779025 + 12996486444096 = 14114345^2 + 3605064^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211221223121 - 2¹ = 212211221223119 is a prime.

Together with 212211221223119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212211201223121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105610611560 + 106105610611561.

It is an arithmetic number, because the mean of its divisors is an integer number (106105610611561).

Almost surely, 2^{212211221223121} is an apocalyptic number.

It is an amenable number.

212211221223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211221223121 is an equidigital number, since it uses as much as digits as its factorization.

212211221223121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 768, while the sum is 25.

Adding to 212211221223121 its reverse (121322122112212), we get a palindrome (333533343335333).

The spelling of 212211221223121 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty-one".