10001000321 has 8 divisors (see below), whose sum is σ = 10777057704. Its totient is φ = 9225907200.

The previous prime is 10001000311. The next prime is 10001000333. The reversal of 10001000321 is 12300010001.

It can be written as a sum of positive squares in 4 ways, for example, as 4190749696 + 5810250625 = 64736^2 + 76225^2 .

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 10001000321 - 2³⁰ = 8927258497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001000299 and 10001000308.

It is not an unprimeable number, because it can be changed into a prime (10001000311) 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, 219446 + ... + 261071.

It is an arithmetic number, because the mean of its divisors is an integer number (1347132213).

Almost surely, 2^10001000321 is an apocalyptic number.

It is an amenable number.

10001000321 is a deficient number, since it is larger than the sum of its proper divisors (776057383).

10001000321 is a wasteful number, since it uses less digits than its factorization.

10001000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482131.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10001000321 its reverse (12300010001), we get a palindrome (22301010322).

The spelling of 10001000321 in words is "ten billion, one million, three hundred twenty-one", and thus it is an aban number.