10810001 has 2 divisors, whose sum is σ = 10810002. Its totient is φ = 10810000.

The previous prime is 10809961. The next prime is 10810013. The reversal of 10810001 is 10001801.

10810001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9759376 + 1050625 = 3124^2 + 1025^2 .

It is an emirp because it is prime and its reverse (10001801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10810001 - 2¹⁴ = 10793617 is a prime.

It is a super-2 number, since 2×10810001² = 233712243240002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10810021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5405000 + 5405001.

It is an arithmetic number, because the mean of its divisors is an integer number (5405001).

Almost surely, 2^10810001 is an apocalyptic number.

It is an amenable number.

10810001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10810001 is an equidigital number, since it uses as much as digits as its factorization.

10810001 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 11.

The square root of 10810001 is about 3287.8565966295. The cubic root of 10810001 is about 221.1100984964.

Adding to 10810001 its reverse (10001801), we get a palindrome (20811802).

The spelling of 10810001 in words is "ten million, eight hundred ten thousand, one".