11011130200 has 96 divisors (see below), whose sum is σ = 29659217760. Its totient is φ = 3723494400.

The previous prime is 11011130189. The next prime is 11011130297. The reversal of 11011130200 is 203111011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48330 + ... + 156070.

It is an arithmetic number, because the mean of its divisors is an integer number (308950185).

Almost surely, 2^11011130200 is an apocalyptic number.

11011130200 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 11011130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829608880).

11011130200 is an abundant number, since it is smaller than the sum of its proper divisors (18648087560).

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

11011130200 is a wasteful number, since it uses less digits than its factorization.

11011130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107837 (or 107828 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11011130200 its reverse (203111011), we get a palindrome (11214241211).

The spelling of 11011130200 in words is "eleven billion, eleven million, one hundred thirty thousand, two hundred".