10021100120209 has 2 divisors, whose sum is σ = 10021100120210. Its totient is φ = 10021100120208.

The previous prime is 10021100120201. The next prime is 10021100120243. The reversal of 10021100120209 is 90202100112001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8055538179984 + 1965561940225 = 2838228^2 + 1401985^2 .

It is an emirp because it is prime and its reverse (90202100112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021100120209 - 2³ = 10021100120201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021100120201) 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, 5010550060104 + 5010550060105.

It is an arithmetic number, because the mean of its divisors is an integer number (5010550060105).

Almost surely, 2^{10021100120209} is an apocalyptic number.

It is an amenable number.

10021100120209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021100120209 is an equidigital number, since it uses as much as digits as its factorization.

10021100120209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10021100120209 in words is "ten trillion, twenty-one billion, one hundred million, one hundred twenty thousand, two hundred nine".