800100001 has 2 divisors, whose sum is σ = 800100002. Its totient is φ = 800100000.

The previous prime is 800099981. The next prime is 800100079. The reversal of 800100001 is 100001008.

800100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 601966225 + 198133776 = 24535^2 + 14076^2 .

It is a cyclic number.

It is not a de Polignac number, because 800100001 - 2⁵ = 800099969 is a prime.

It is not a weakly prime, because it can be changed into another prime (800100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400050000 + 400050001.

It is an arithmetic number, because the mean of its divisors is an integer number (400050001).

Almost surely, 2^800100001 is an apocalyptic number.

It is an amenable number.

800100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

800100001 is an equidigital number, since it uses as much as digits as its factorization.

800100001 is an odious number, because the sum of its binary digits is odd.

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

The square root of 800100001 is about 28286.0389768522. The cubic root of 800100001 is about 928.3564454047.

Adding to 800100001 its reverse (100001008), we get a palindrome (900101009).

The spelling of 800100001 in words is "eight hundred million, one hundred thousand, one".