212121101112209 has 2 divisors, whose sum is σ = 212121101112210. Its totient is φ = 212121101112208.

The previous prime is 212121101112187. The next prime is 212121101112223. The reversal of 212121101112209 is 902211101121212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212101445072209 + 19656040000 = 14563703^2 + 140200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212121101112209 is a prime.

It is a super-3 number, since 3×212121101112209³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212121101112299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060550556104 + 106060550556105.

It is an arithmetic number, because the mean of its divisors is an integer number (106060550556105).

Almost surely, 2^{212121101112209} is an apocalyptic number.

It is an amenable number.

212121101112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121101112209 is an equidigital number, since it uses as much as digits as its factorization.

212121101112209 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 26.

The spelling of 212121101112209 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, two hundred nine".