2001000111 has 20 divisors (see below), whose sum is σ = 2934846360. Its totient is φ = 1212700720.

The previous prime is 2001000101. The next prime is 2001000139. The reversal of 2001000111 is 1110001002.

It is not a de Polignac number, because 2001000111 - 2⁷ = 2000999983 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21145 + ... + 66701.

It is an arithmetic number, because the mean of its divisors is an integer number (146742318).

Almost surely, 2^2001000111 is an apocalyptic number.

2001000111 is a deficient number, since it is larger than the sum of its proper divisors (933846249).

2001000111 is an frugal number, since it uses more digits than its factorization.

2001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45604 (or 45571 counting only the distinct ones).

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

The square root of 2001000111 is about 44732.5397333977. The cubic root of 2001000111 is about 1260.1310250492.

Adding to 2001000111 its reverse (1110001002), we get a palindrome (3111001113).

The spelling of 2001000111 in words is "two billion, one million, one hundred eleven", and thus it is an aban number.