212100002200213 has 2 divisors, whose sum is σ = 212100002200214. Its totient is φ = 212100002200212.

The previous prime is 212100002200183. The next prime is 212100002200223. The reversal of 212100002200213 is 312002200001212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208663138561329 + 3436863638884 = 14445177^2 + 1853878^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100002200213 - 2¹³ = 212100002192021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100002200223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050001100106 + 106050001100107.

It is an arithmetic number, because the mean of its divisors is an integer number (106050001100107).

Almost surely, 2^{212100002200213} is an apocalyptic number.

It is an amenable number.

212100002200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100002200213 is an equidigital number, since it uses as much as digits as its factorization.

212100002200213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212100002200213 its reverse (312002200001212), we get a palindrome (524102202201425).

The spelling of 212100002200213 in words is "two hundred twelve trillion, one hundred billion, two million, two hundred thousand, two hundred thirteen".