212100221120009 has 2 divisors, whose sum is σ = 212100221120010. Its totient is φ = 212100221120008.

The previous prime is 212100221119993. The next prime is 212100221120093. The reversal of 212100221120009 is 900021122001212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127659559614409 + 84440661505600 = 11298653^2 + 9189160^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100221120009 - 2⁴ = 212100221119993 is a prime.

It is not a weakly prime, because it can be changed into another prime (212100221120509) 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, 106050110560004 + 106050110560005.

It is an arithmetic number, because the mean of its divisors is an integer number (106050110560005).

Almost surely, 2^{212100221120009} is an apocalyptic number.

It is an amenable number.

212100221120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100221120009 is an equidigital number, since it uses as much as digits as its factorization.

212100221120009 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 23.

The spelling of 212100221120009 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-one million, one hundred twenty thousand, nine".