2212111121009 has 2 divisors, whose sum is σ = 2212111121010. Its totient is φ = 2212111121008.

The previous prime is 2212111120949. The next prime is 2212111121027. The reversal of 2212111121009 is 9001211112122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2159862304609 + 52248816400 = 1469647^2 + 228580^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212111121009 - 2⁸ = 2212111120753 is a prime.

It is a super-2 number, since 2×2212111121009² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2212111124009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106055560504 + 1106055560505.

It is an arithmetic number, because the mean of its divisors is an integer number (1106055560505).

Almost surely, 2^{2212111121009} is an apocalyptic number.

It is an amenable number.

2212111121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212111121009 is an equidigital number, since it uses as much as digits as its factorization.

2212111121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 2212111121009 in words is "two trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, nine".