1001100020009 has 2 divisors, whose sum is σ = 1001100020010. Its totient is φ = 1001100020008.

The previous prime is 1001100019999. The next prime is 1001100020047. The reversal of 1001100020009 is 9000200011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 936394905625 + 64705114384 = 967675^2 + 254372^2 .

It is an emirp because it is prime and its reverse (9000200011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001100020009 - 2⁴ = 1001100019993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100019975 and 1001100020002.

It is not a weakly prime, because it can be changed into another prime (1001100020509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550010004 + 500550010005.

It is an arithmetic number, because the mean of its divisors is an integer number (500550010005).

Almost surely, 2^{1001100020009} is an apocalyptic number.

It is an amenable number.

1001100020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100020009 is an equidigital number, since it uses as much as digits as its factorization.

1001100020009 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 1001100020009 in words is "one trillion, one billion, one hundred million, twenty thousand, nine".