2001116112 has 40 divisors (see below), whose sum is σ = 5289777504. Its totient is φ = 651525504.

The previous prime is 2001116099. The next prime is 2001116113. The reversal of 2001116112 is 2116111002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001116091 and 2001116100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001116113) 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 7 ways as a sum of consecutive naturals, for example, 482703 + ... + 486830.

Almost surely, 2^2001116112 is an apocalyptic number.

It is an amenable number.

2001116112 is an abundant number, since it is smaller than the sum of its proper divisors (3288661392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001116112 is a wasteful number, since it uses less digits than its factorization.

2001116112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969587 (or 969581 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 2001116112 is about 44733.8363210669. The cubic root of 2001116112 is about 1260.1553751452.

Adding to 2001116112 its reverse (2116111002), we get a palindrome (4117227114).

The spelling of 2001116112 in words is "two billion, one million, one hundred sixteen thousand, one hundred twelve".