211100100209 has 2 divisors, whose sum is σ = 211100100210. Its totient is φ = 211100100208.

The previous prime is 211100100187. The next prime is 211100100217. The reversal of 211100100209 is 902001001112.

211100100209 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., 109711987984 + 101388112225 = 331228^2 + 318415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211100100209 is a prime.

It is not a weakly prime, because it can be changed into another prime (211100100109) 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, 105550050104 + 105550050105.

It is an arithmetic number, because the mean of its divisors is an integer number (105550050105).

Almost surely, 2^211100100209 is an apocalyptic number.

It is an amenable number.

211100100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100100209 is an equidigital number, since it uses as much as digits as its factorization.

211100100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 211100100209 in words is "two hundred eleven billion, one hundred million, one hundred thousand, two hundred nine".