212112222009001 has 2 divisors, whose sum is σ = 212112222009002. Its totient is φ = 212112222009000.

The previous prime is 212112222008987. The next prime is 212112222009007. The reversal of 212112222009001 is 100900222211212.

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., 113127133743376 + 98985088265625 = 10636124^2 + 9949125^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112222009001 - 2¹¹ = 212112222006953 is a prime.

It is not a weakly prime, because it can be changed into another prime (212112222009007) 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, 106056111004500 + 106056111004501.

It is an arithmetic number, because the mean of its divisors is an integer number (106056111004501).

Almost surely, 2^{212112222009001} is an apocalyptic number.

It is an amenable number.

212112222009001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112222009001 is an equidigital number, since it uses as much as digits as its factorization.

212112222009001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 212112222009001 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, nine thousand, one".