10001001002009 has 2 divisors, whose sum is σ = 10001001002010. Its totient is φ = 10001001002008.

The previous prime is 10001001001997. The next prime is 10001001002059. The reversal of 10001001002009 is 90020010010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5053490512009 + 4947510490000 = 2247997^2 + 2224300^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001002009 - 2³⁶ = 9932281525273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001001001984 and 10001001002002.

It is not a weakly prime, because it can be changed into another prime (10001001002059) 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, 5000500501004 + 5000500501005.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500501005).

Almost surely, 2^{10001001002009} is an apocalyptic number.

It is an amenable number.

10001001002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001002009 is an equidigital number, since it uses as much as digits as its factorization.

10001001002009 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 10001001002009 in words is "ten trillion, one billion, one million, two thousand, nine".