10005001000001 has 16 divisors (see below), whose sum is σ = 11568563372160. Its totient is φ = 8475388508160.

The previous prime is 10005000999989. The next prime is 10005001000073. The reversal of 10005001000001 is 10000010050001.

It is a happy number.

It is not a de Polignac number, because 10005001000001 - 2¹⁰ = 10005000998977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005001000091) 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 in 15 ways as a sum of consecutive naturals, for example, 15549056 + ... + 16179713.

It is an arithmetic number, because the mean of its divisors is an integer number (723035210760).

Almost surely, 2^{10005001000001} is an apocalyptic number.

It is an amenable number.

10005001000001 is a deficient number, since it is larger than the sum of its proper divisors (1563562372159).

10005001000001 is a wasteful number, since it uses less digits than its factorization.

10005001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31729304.

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 10005001000001 its reverse (10000010050001), we get a palindrome (20005011050002).

The spelling of 10005001000001 in words is "ten trillion, five billion, one million, one", and thus it is an aban number and an uban number.