2011000112 has 40 divisors (see below), whose sum is σ = 4276660800. Its totient is φ = 908470080.

The previous prime is 2011000097. The next prime is 2011000127. The reversal of 2011000112 is 2110001102.

It is an interprime number because it is at equal distance from previous prime (2011000097) and next prime (2011000127).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2011000112.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6362 + ... + 63737.

It is an arithmetic number, because the mean of its divisors is an integer number (106916520).

Almost surely, 2^2011000112 is an apocalyptic number.

2011000112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011000112 is an abundant number, since it is smaller than the sum of its proper divisors (2265660688).

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

2011000112 is a wasteful number, since it uses less digits than its factorization.

2011000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70281 (or 70275 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2011000112 is about 44844.1758983260. The cubic root of 2011000112 is about 1262.2267067433.

Adding to 2011000112 its reverse (2110001102), we get a palindrome (4121001214).

The spelling of 2011000112 in words is "two billion, eleven million, one hundred twelve", and thus it is an aban number.