10210212120209 has 2 divisors, whose sum is σ = 10210212120210. Its totient is φ = 10210212120208.

The previous prime is 10210212120161. The next prime is 10210212120397. The reversal of 10210212120209 is 90202121201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5523571651984 + 4686640468225 = 2350228^2 + 2164865^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210212120209 - 2⁸ = 10210212119953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10210212120809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105106060104 + 5105106060105.

It is an arithmetic number, because the mean of its divisors is an integer number (5105106060105).

Almost surely, 2^{10210212120209} is an apocalyptic number.

It is an amenable number.

10210212120209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210212120209 is an equidigital number, since it uses as much as digits as its factorization.

10210212120209 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 10210212120209 in words is "ten trillion, two hundred ten billion, two hundred twelve million, one hundred twenty thousand, two hundred nine".