1001002100009 has 2 divisors, whose sum is σ = 1001002100010. Its totient is φ = 1001002100008.

The previous prime is 1001002099949. The next prime is 1001002100039. The reversal of 1001002100009 is 9000012001001.

1001002100009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 681780490000 + 319221610009 = 825700^2 + 564997^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001002100009 - 2²⁰ = 1001001051433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001002099966 and 1001002100002.

It is not a weakly prime, because it can be changed into another prime (1001002100039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501050004 + 500501050005.

It is an arithmetic number, because the mean of its divisors is an integer number (500501050005).

Almost surely, 2^{1001002100009} is an apocalyptic number.

It is an amenable number.

1001002100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001002100009 is an equidigital number, since it uses as much as digits as its factorization.

1001002100009 is an evil number, because the sum of its binary digits is even.

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

It can be divided in two parts, 1001002 and 100009, that added together give a palindrome (1101011).

The spelling of 1001002100009 in words is "one trillion, one billion, two million, one hundred thousand, nine".