8000110001 has 12 divisors (see below), whose sum is σ = 8676226908. Its totient is φ = 7373306304.

The previous prime is 8000109959. The next prime is 8000110007. The reversal of 8000110001 is 1000110008.

It can be written as a sum of positive squares in 6 ways, for example, as 1383914401 + 6616195600 = 37201^2 + 81340^2 .

It is not a de Polignac number, because 8000110001 - 2¹⁴ = 8000093617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8000110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74111 + ... + 146603.

It is an arithmetic number, because the mean of its divisors is an integer number (723018909).

Almost surely, 2^8000110001 is an apocalyptic number.

It is an amenable number.

8000110001 is a deficient number, since it is larger than the sum of its proper divisors (676116907).

8000110001 is a wasteful number, since it uses less digits than its factorization.

8000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73172 (or 73159 counting only the distinct ones).

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

The square root of 8000110001 is about 89443.3340221618. The cubic root of 8000110001 is about 2000.0091667080.

Adding to 8000110001 its reverse (1000110008), we get a palindrome (9000220009).

The spelling of 8000110001 in words is "eight billion, one hundred ten thousand, one".