10004000000001 has 32 divisors (see below), whose sum is σ = 15306835799808. Its totient is φ = 5693126860800.

The previous prime is 10003999999999. The next prime is 10004000000009. The reversal of 10004000000001 is 10000000040001.

It is not a de Polignac number, because 10004000000001 - 2¹ = 10003999999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10004000000009) 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 31 ways as a sum of consecutive naturals, for example, 4077201 + ... + 6052401.

It is an arithmetic number, because the mean of its divisors is an integer number (478338618744).

Almost surely, 2^{10004000000001} is an apocalyptic number.

It is an amenable number.

10004000000001 is a deficient number, since it is larger than the sum of its proper divisors (5302835799807).

10004000000001 is a wasteful number, since it uses less digits than its factorization.

10004000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976201.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10004000000001 its reverse (10000000040001), we get a palindrome (20004000040002).

The spelling of 10004000000001 in words is "ten trillion, four billion, one", and thus it is an aban number.