10202122110209 has 2 divisors, whose sum is σ = 10202122110210. Its totient is φ = 10202122110208.

The previous prime is 10202122110181. The next prime is 10202122110211. The reversal of 10202122110209 is 90201122120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6490026287809 + 3712095822400 = 2547553^2 + 1926680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10202122110209 is a prime.

Together with 10202122110211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10202122110239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101061055104 + 5101061055105.

It is an arithmetic number, because the mean of its divisors is an integer number (5101061055105).

Almost surely, 2^{10202122110209} is an apocalyptic number.

It is an amenable number.

10202122110209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202122110209 is an equidigital number, since it uses as much as digits as its factorization.

10202122110209 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 10202122110209 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred ten thousand, two hundred nine".