10000800001 has 8 divisors (see below), whose sum is σ = 10762674984. Its totient is φ = 9258213120.

The previous prime is 10000799999. The next prime is 10000800011.

10000800001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 290668401 + 9710131600 = 17049^2 + 98540^2 .

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 10000800001 - 2¹ = 10000799999 is a prime.

10000800001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000800011) 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, 4820950 + ... + 4823023.

It is an arithmetic number, because the mean of its divisors is an integer number (1345334373).

Almost surely, 2^10000800001 is an apocalyptic number.

It is an amenable number.

10000800001 is a deficient number, since it is larger than the sum of its proper divisors (761874983).

10000800001 is an equidigital number, since it uses as much as digits as its factorization.

10000800001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644051.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 10000800001 in words is "ten billion, eight hundred thousand, one".