2011112112200 has 48 divisors (see below), whose sum is σ = 4678083546660. Its totient is φ = 804058112000.

The previous prime is 2011112112181. The next prime is 2011112112209. The reversal of 2011112112200 is 22112111102.

It can be written as a sum of positive squares in 6 ways, for example, as 133077580804 + 1878034531396 = 364798^2 + 1370414^2 .

It is not an unprimeable number, because it can be changed into a prime (2011112112209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1999841 + ... + 2832240.

Almost surely, 2^{2011112112200} is an apocalyptic number.

2011112112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011112112200 is an abundant number, since it is smaller than the sum of its proper divisors (2666971434460).

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

2011112112200 is a wasteful number, since it uses less digits than its factorization.

2011112112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834178 (or 4834169 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011112112200 its reverse (22112111102), we get a palindrome (2033224223302).

The spelling of 2011112112200 in words is "two trillion, eleven billion, one hundred twelve million, one hundred twelve thousand, two hundred".