212201220221 has 2 divisors, whose sum is σ = 212201220222. Its totient is φ = 212201220220.

The previous prime is 212201220211. The next prime is 212201220227. The reversal of 212201220221 is 122022102212.

It is a happy number.

212201220221 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., 190217227321 + 21983992900 = 436139^2 + 148270^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201220221 - 2¹⁸ = 212200958077 is a prime.

It is a super-3 number, since 3×212201220221³ (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 212201220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212201220227) 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, 106100610110 + 106100610111.

It is an arithmetic number, because the mean of its divisors is an integer number (106100610111).

Almost surely, 2^212201220221 is an apocalyptic number.

It is an amenable number.

212201220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201220221 is an equidigital number, since it uses as much as digits as its factorization.

212201220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212201220221 its reverse (122022102212), we get a palindrome (334223322433).

The spelling of 212201220221 in words is "two hundred twelve billion, two hundred one million, two hundred twenty thousand, two hundred twenty-one".