8101000001 has 4 divisors (see below), whose sum is σ = 8106953604. Its totient is φ = 8095046400.

The previous prime is 8100999997. The next prime is 8101000003. The reversal of 8101000001 is 1000001018.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2989464976 + 5111535025 = 54676^2 + 71495^2 .

It is a cyclic number.

It is not a de Polignac number, because 8101000001 - 2² = 8100999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8101000003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2974760 + ... + 2977481.

It is an arithmetic number, because the mean of its divisors is an integer number (2026738401).

Almost surely, 2^8101000001 is an apocalyptic number.

It is an amenable number.

8101000001 is a deficient number, since it is larger than the sum of its proper divisors (5953603).

8101000001 is a wasteful number, since it uses less digits than its factorization.

8101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953602.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 8101000001 is about 90005.5553896536. Note that the first 3 decimals coincide. The cubic root of 8101000001 is about 2008.3814929715.

Adding to 8101000001 its reverse (1000001018), we get a palindrome (9101001019).

The spelling of 8101000001 in words is "eight billion, one hundred one million, one", and thus it is an aban number.