212202100009 has 2 divisors, whose sum is σ = 212202100010. Its totient is φ = 212202100008.

The previous prime is 212202099947. The next prime is 212202100021. The reversal of 212202100009 is 900001202212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195523152400 + 16678947609 = 442180^2 + 129147^2 .

It is a cyclic number.

It is not a de Polignac number, because 212202100009 - 2¹⁵ = 212202067241 is a prime.

It is not a weakly prime, because it can be changed into another prime (212202100069) 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, 106101050004 + 106101050005.

It is an arithmetic number, because the mean of its divisors is an integer number (106101050005).

Almost surely, 2^212202100009 is an apocalyptic number.

It is an amenable number.

212202100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202100009 is an equidigital number, since it uses as much as digits as its factorization.

212202100009 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 19.

The spelling of 212202100009 in words is "two hundred twelve billion, two hundred two million, one hundred thousand, nine".