11122121110200 has 192 divisors, whose sum is σ = 34719477811200. Its totient is φ = 2945217369600.

The previous prime is 11122121110189. The next prime is 11122121110237. The reversal of 11122121110200 is 201112122111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11122121110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87024345 + ... + 87152055.

It is an arithmetic number, because the mean of its divisors is an integer number (180830613600).

Almost surely, 2^{11122121110200} is an apocalyptic number.

11122121110200 is a gapful number since it is divisible by the number (10) 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 11122121110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359738905600).

11122121110200 is an abundant number, since it is smaller than the sum of its proper divisors (23597356701000).

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

11122121110200 is a wasteful number, since it uses less digits than its factorization.

11122121110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128742 (or 128733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11122121110200 its reverse (201112122111), we get a palindrome (11323233232311).

The spelling of 11122121110200 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred".