10102001220209 has 2 divisors, whose sum is σ = 10102001220210. Its totient is φ = 10102001220208.

The previous prime is 10102001220197. The next prime is 10102001220221. The reversal of 10102001220209 is 90202210020101.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (10102001220197) and next prime (10102001220221).

It can be written as a sum of positive squares in only one way, i.e., 10066482163984 + 35519056225 = 3172772^2 + 188465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102001220209 - 2²⁰ = 10102000171633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102001220299) 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, 5051000610104 + 5051000610105.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000610105).

Almost surely, 2^{10102001220209} is an apocalyptic number.

It is an amenable number.

10102001220209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102001220209 is an equidigital number, since it uses as much as digits as its factorization.

10102001220209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10102001220209 in words is "ten trillion, one hundred two billion, one million, two hundred twenty thousand, two hundred nine".