212100210210221 has 2 divisors, whose sum is σ = 212100210210222. Its totient is φ = 212100210210220.

The previous prime is 212100210210169. The next prime is 212100210210247. The reversal of 212100210210221 is 122012012001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203875962048196 + 8224248162025 = 14278514^2 + 2867795^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100210210221 - 2³⁰ = 212099136468397 is a prime.

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 212100210210221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100210210271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050105105110 + 106050105105111.

It is an arithmetic number, because the mean of its divisors is an integer number (106050105105111).

Almost surely, 2^{212100210210221} is an apocalyptic number.

It is an amenable number.

212100210210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100210210221 is an equidigital number, since it uses as much as digits as its factorization.

212100210210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212100210210221 its reverse (122012012001212), we get a palindrome (334112222211433).

The spelling of 212100210210221 in words is "two hundred twelve trillion, one hundred billion, two hundred ten million, two hundred ten thousand, two hundred twenty-one".