2011111122200 has 96 divisors (see below), whose sum is σ = 4934920008000. Its totient is φ = 760093891200.

The previous prime is 2011111122187. The next prime is 2011111122211. The reversal of 2011111122200 is 22211111102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 741995 + ... + 2138405.

It is an arithmetic number, because the mean of its divisors is an integer number (51405416750).

Almost surely, 2^{2011111122200} is an apocalyptic number.

2011111122200 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 2011111122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467460004000).

2011111122200 is an abundant number, since it is smaller than the sum of its proper divisors (2923808885800).

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

2011111122200 is a wasteful number, since it uses less digits than its factorization.

2011111122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396825 (or 1396816 counting only the distinct ones).

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

Adding to 2011111122200 its reverse (22211111102), we get a palindrome (2033322233302).

The spelling of 2011111122200 in words is "two trillion, eleven billion, one hundred eleven million, one hundred twenty-two thousand, two hundred".