10001000100009 has 8 divisors (see below), whose sum is σ = 13411745799552. Its totient is φ = 6628793900240.

The previous prime is 10001000099843. The next prime is 10001000100011. The reversal of 10001000100009 is 90000100010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001000100009 - 2⁴¹ = 7801976844457 is a prime.

It is a super-3 number, since 3×10001000100009³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001000099967 and 10001000100003.

It is not an unprimeable number, because it can be changed into a prime (10001000100059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9634874337 + ... + 9634875374.

It is an arithmetic number, because the mean of its divisors is an integer number (1676468224944).

Almost surely, 2^{10001000100009} is an apocalyptic number.

It is an amenable number.

10001000100009 is a deficient number, since it is larger than the sum of its proper divisors (3410745699543).

10001000100009 is a wasteful number, since it uses less digits than its factorization.

10001000100009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19269749887.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 10001000100009 in words is "ten trillion, one billion, one hundred thousand, nine".