212100002122201 has 2 divisors, whose sum is σ = 212100002122202. Its totient is φ = 212100002122200.

The previous prime is 212100002122187. The next prime is 212100002122237. The reversal of 212100002122201 is 102221200001212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108428507235801 + 103671494886400 = 10412901^2 + 10181920^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100002122201 - 2⁴⁵ = 176915630033369 is a prime.

It is not a weakly prime, because it can be changed into another prime (212100002122501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050001061100 + 106050001061101.

It is an arithmetic number, because the mean of its divisors is an integer number (106050001061101).

Almost surely, 2^{212100002122201} is an apocalyptic number.

It is an amenable number.

212100002122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100002122201 is an equidigital number, since it uses as much as digits as its factorization.

212100002122201 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 16.

Adding to 212100002122201 its reverse (102221200001212), we get a palindrome (314321202123413).

The spelling of 212100002122201 in words is "two hundred twelve trillion, one hundred billion, two million, one hundred twenty-two thousand, two hundred one".