2100211022209 has 2 divisors, whose sum is σ = 2100211022210. Its totient is φ = 2100211022208.

The previous prime is 2100211022197. The next prime is 2100211022227. The reversal of 2100211022209 is 9022201120012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2028616247025 + 71594775184 = 1424295^2 + 267572^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100211022209 - 2⁵ = 2100211022177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100211022209.

It is not a weakly prime, because it can be changed into another prime (2100211022249) 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, 1050105511104 + 1050105511105.

It is an arithmetic number, because the mean of its divisors is an integer number (1050105511105).

Almost surely, 2^{2100211022209} is an apocalyptic number.

It is an amenable number.

2100211022209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100211022209 is an equidigital number, since it uses as much as digits as its factorization.

2100211022209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2100211022209 in words is "two trillion, one hundred billion, two hundred eleven million, twenty-two thousand, two hundred nine".