2001110001 has 96 divisors (see below), whose sum is σ = 3345826176. Its totient is φ = 1050624000.

The previous prime is 2001109987. The next prime is 2001110017. The reversal of 2001110001 is 1000111002.

It is not a de Polignac number, because 2001110001 - 2¹⁵ = 2001077233 is a prime.

It is a super-2 number, since 2×2001110001² = 8008882472204440002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8303241 + ... + 8303481.

It is an arithmetic number, because the mean of its divisors is an integer number (34852356).

Almost surely, 2^2001110001 is an apocalyptic number.

It is an amenable number.

2001110001 is a deficient number, since it is larger than the sum of its proper divisors (1344716175).

2001110001 is a wasteful number, since it uses less digits than its factorization.

2001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2001110001 is about 44733.7680170137. The cubic root of 2001110001 is about 1260.1540923915.

Adding to 2001110001 its reverse (1000111002), we get a palindrome (3001221003).

The spelling of 2001110001 in words is "two billion, one million, one hundred ten thousand, one".