21002002210009 has 2 divisors, whose sum is σ = 21002002210010. Its totient is φ = 21002002210008.

The previous prime is 21002002209989. The next prime is 21002002210031. The reversal of 21002002210009 is 90001220020012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20534492250000 + 467509960009 = 4531500^2 + 683747^2 .

It is a cyclic number.

It is not a de Polignac number, because 21002002210009 - 2⁵ = 21002002209977 is a prime.

It is a super-3 number, since 3×21002002210009³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21002002211009) 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, 10501001105004 + 10501001105005.

It is an arithmetic number, because the mean of its divisors is an integer number (10501001105005).

Almost surely, 2^{21002002210009} is an apocalyptic number.

It is an amenable number.

21002002210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21002002210009 is an equidigital number, since it uses as much as digits as its factorization.

21002002210009 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 19.

The spelling of 21002002210009 in words is "twenty-one trillion, two billion, two million, two hundred ten thousand, nine".