10021100009 has 2 divisors, whose sum is σ = 10021100010. Its totient is φ = 10021100008.

The previous prime is 10021099987. The next prime is 10021100081. The reversal of 10021100009 is 90000112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7998619225 + 2022480784 = 89435^2 + 44972^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021100009 - 2²⁸ = 9752664553 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021099966 and 10021100002.

It is not a weakly prime, because it can be changed into another prime (10021100809) 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, 5010550004 + 5010550005.

It is an arithmetic number, because the mean of its divisors is an integer number (5010550005).

Almost surely, 2^10021100009 is an apocalyptic number.

It is an amenable number.

10021100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021100009 is an equidigital number, since it uses as much as digits as its factorization.

10021100009 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.

It can be divided in two parts, 1002 and 1100009, that added together give a palindrome (1101011).

The spelling of 10021100009 in words is "ten billion, twenty-one million, one hundred thousand, nine".