10210010009 has 2 divisors, whose sum is σ = 10210010010. Its totient is φ = 10210010008.

The previous prime is 10210009969. The next prime is 10210010011. The reversal of 10210010009 is 90001001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8406139225 + 1803870784 = 91685^2 + 42472^2 .

It is an emirp because it is prime and its reverse (90001001201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10210010009 is a prime.

Together with 10210010011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10210009975 and 10210010002.

It is not a weakly prime, because it can be changed into another prime (10210010039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005004 + 5105005005.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005005).

Almost surely, 2^10210010009 is an apocalyptic number.

It is an amenable number.

10210010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210010009 is an equidigital number, since it uses as much as digits as its factorization.

10210010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10210010009 in words is "ten billion, two hundred ten million, ten thousand, nine".