11121102200 has 96 divisors (see below), whose sum is σ = 28261576560. Its totient is φ = 4044902400.

The previous prime is 11121102193. The next prime is 11121102217. The reversal of 11121102200 is 220112111.

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, 142280 + ... + 206120.

Almost surely, 2^11121102200 is an apocalyptic number.

11121102200 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 11121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14130788280).

11121102200 is an abundant number, since it is smaller than the sum of its proper divisors (17140474360).

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

11121102200 is a wasteful number, since it uses less digits than its factorization.

11121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63937 (or 63928 counting only the distinct ones).

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

Adding to 11121102200 its reverse (220112111), we get a palindrome (11341214311).

The spelling of 11121102200 in words is "eleven billion, one hundred twenty-one million, one hundred two thousand, two hundred".