8001000110001 has 16 divisors (see below), whose sum is σ = 10675158528896. Its totient is φ = 5330422048896.

The previous prime is 8001000109979. The next prime is 8001000110053. The reversal of 8001000110001 is 1000110001008.

It is a happy number.

It is not a de Polignac number, because 8001000110001 - 2¹⁷ = 8000999978929 is a prime.

It is a super-3 number, since 3×8001000110001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8001000110101) 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 15 ways as a sum of consecutive naturals, for example, 27888381 + ... + 28173813.

It is an arithmetic number, because the mean of its divisors is an integer number (667197408056).

Almost surely, 2^{8001000110001} is an apocalyptic number.

It is an amenable number.

8001000110001 is a deficient number, since it is larger than the sum of its proper divisors (2674158418895).

8001000110001 is a wasteful number, since it uses less digits than its factorization.

8001000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291672.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 8001000110001 its reverse (1000110001008), we get a palindrome (9001110111009).

The spelling of 8001000110001 in words is "eight trillion, one billion, one hundred ten thousand, one".