11011120020200 has 192 divisors, whose sum is σ = 26590528454400. Its totient is φ = 4235443430400.

The previous prime is 11011120020161. The next prime is 11011120020221. The reversal of 11011120020200 is 202002111011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575038705 + ... + 1575045695.

It is an arithmetic number, because the mean of its divisors is an integer number (138492335700).

Almost surely, 2^{11011120020200} is an apocalyptic number.

11011120020200 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 11011120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295264227200).

11011120020200 is an abundant number, since it is smaller than the sum of its proper divisors (15579408434200).

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

11011120020200 is a wasteful number, since it uses less digits than its factorization.

11011120020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11011120020200 its reverse (202002111011), we get a palindrome (11213122131211).

The spelling of 11011120020200 in words is "eleven trillion, eleven billion, one hundred twenty million, twenty thousand, two hundred".