10002122112209 has 2 divisors, whose sum is σ = 10002122112210. Its totient is φ = 10002122112208.

The previous prime is 10002122112187. The next prime is 10002122112223. The reversal of 10002122112209 is 90221122120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8932345622209 + 1069776490000 = 2988703^2 + 1034300^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002122112209 - 2⁸ = 10002122111953 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002122112259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001061056104 + 5001061056105.

It is an arithmetic number, because the mean of its divisors is an integer number (5001061056105).

Almost surely, 2^{10002122112209} is an apocalyptic number.

It is an amenable number.

10002122112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002122112209 is an equidigital number, since it uses as much as digits as its factorization.

10002122112209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10002122112209 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred nine".