2011112221100 has 72 divisors (see below), whose sum is σ = 4399346757120. Its totient is φ = 797952798720.

The previous prime is 2011112221051. The next prime is 2011112221123. The reversal of 2011112221100 is 11222111102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80467406 + ... + 80492394.

Almost surely, 2^{2011112221100} is an apocalyptic number.

2011112221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199673378560).

2011112221100 is an abundant number, since it is smaller than the sum of its proper divisors (2388234536020).

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

2011112221100 is a wasteful number, since it uses less digits than its factorization.

2011112221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31467 (or 31460 counting only the distinct ones).

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

Adding to 2011112221100 its reverse (11222111102), we get a palindrome (2022334332202).

The spelling of 2011112221100 in words is "two trillion, eleven billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".