211301310221 has 2 divisors, whose sum is σ = 211301310222. Its totient is φ = 211301310220.

The previous prime is 211301310217. The next prime is 211301310257. The reversal of 211301310221 is 122013103112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210635102500 + 666207721 = 458950^2 + 25811^2 .

It is a cyclic number.

It is not a de Polignac number, because 211301310221 - 2² = 211301310217 is a prime.

It is a super-3 number, since 3×211301310221³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 211301310221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211301310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105650655110 + 105650655111.

It is an arithmetic number, because the mean of its divisors is an integer number (105650655111).

Almost surely, 2^211301310221 is an apocalyptic number.

It is an amenable number.

211301310221 is a deficient number, since it is larger than the sum of its proper divisors (1).

211301310221 is an equidigital number, since it uses as much as digits as its factorization.

211301310221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211301310221 its reverse (122013103112), we get a palindrome (333314413333).

The spelling of 211301310221 in words is "two hundred eleven billion, three hundred one million, three hundred ten thousand, two hundred twenty-one".