10002120212209 has 2 divisors, whose sum is σ = 10002120212210. Its totient is φ = 10002120212208.

The previous prime is 10002120212207. The next prime is 10002120212239. The reversal of 10002120212209 is 90221202120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9974321986225 + 27798225984 = 3158215^2 + 166728^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002120212209 - 2¹ = 10002120212207 is a prime.

It is a super-2 number, since 2×10002120212209² (a number of 27 digits) contains 22 as substring.

Together with 10002120212207, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10002120212209.

It is not a weakly prime, because it can be changed into another prime (10002120212207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060106104 + 5001060106105.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060106105).

Almost surely, 2^{10002120212209} is an apocalyptic number.

It is an amenable number.

10002120212209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120212209 is an equidigital number, since it uses as much as digits as its factorization.

10002120212209 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 22.

The spelling of 10002120212209 in words is "ten trillion, two billion, one hundred twenty million, two hundred twelve thousand, two hundred nine".