212101100209 has 2 divisors, whose sum is σ = 212101100210. Its totient is φ = 212101100208.

The previous prime is 212101100137. The next prime is 212101100227. The reversal of 212101100209 is 902001101212.

It is a happy number.

212101100209 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., 185823069184 + 26278031025 = 431072^2 + 162105^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101100209 - 2⁹ = 212101099697 is a prime.

It is not a weakly prime, because it can be changed into another prime (212101100279) 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, 106050550104 + 106050550105.

It is an arithmetic number, because the mean of its divisors is an integer number (106050550105).

Almost surely, 2^212101100209 is an apocalyptic number.

It is an amenable number.

212101100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101100209 is an equidigital number, since it uses as much as digits as its factorization.

212101100209 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 19.

The spelling of 212101100209 in words is "two hundred twelve billion, one hundred one million, one hundred thousand, two hundred nine".