212122312201 has 2 divisors, whose sum is σ = 212122312202. Its totient is φ = 212122312200.

The previous prime is 212122312177. The next prime is 212122312211. The reversal of 212122312201 is 102213221212.

212122312201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178845255801 + 33277056400 = 422901^2 + 182420^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122312201 - 2⁵ = 212122312169 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122312211) 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, 106061156100 + 106061156101.

It is an arithmetic number, because the mean of its divisors is an integer number (106061156101).

Almost surely, 2^212122312201 is an apocalyptic number.

It is an amenable number.

212122312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122312201 is an equidigital number, since it uses as much as digits as its factorization.

212122312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 212122312201 its reverse (102213221212), we get a palindrome (314335533413).

The spelling of 212122312201 in words is "two hundred twelve billion, one hundred twenty-two million, three hundred twelve thousand, two hundred one".