10000212110209 has 2 divisors, whose sum is σ = 10000212110210. Its totient is φ = 10000212110208.

The previous prime is 10000212110159. The next prime is 10000212110227. The reversal of 10000212110209 is 90201121200001.

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., 8846478335809 + 1153733774400 = 2974303^2 + 1074120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000212110209 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000212113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000106055104 + 5000106055105.

It is an arithmetic number, because the mean of its divisors is an integer number (5000106055105).

Almost surely, 2^{10000212110209} is an apocalyptic number.

It is an amenable number.

10000212110209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000212110209 is an equidigital number, since it uses as much as digits as its factorization.

10000212110209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10000212110209 in words is "ten trillion, two hundred twelve million, one hundred ten thousand, two hundred nine".