2120212122209 has 2 divisors, whose sum is σ = 2120212122210. Its totient is φ = 2120212122208.

The previous prime is 2120212122187. The next prime is 2120212122269. The reversal of 2120212122209 is 9022212120212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1714057008400 + 406155113809 = 1309220^2 + 637303^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120212122209 - 2¹⁶ = 2120212056673 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120212122269) 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, 1060106061104 + 1060106061105.

It is an arithmetic number, because the mean of its divisors is an integer number (1060106061105).

Almost surely, 2^{2120212122209} is an apocalyptic number.

It is an amenable number.

2120212122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120212122209 is an equidigital number, since it uses as much as digits as its factorization.

2120212122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2120212122209 in words is "two trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, two hundred nine".