11120001100200 has 1344 divisors, whose sum is σ = 42675502968000. Its totient is φ = 2682548305920.

The previous prime is 11120001100193. The next prime is 11120001100267. The reversal of 11120001100200 is 200110002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 7792571887 + ... + 7792573313.

It is an arithmetic number, because the mean of its divisors is an integer number (31752606375).

Almost surely, 2^{11120001100200} is an apocalyptic number.

11120001100200 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 11120001100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337751484000).

11120001100200 is an abundant number, since it is smaller than the sum of its proper divisors (31555501867800).

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

11120001100200 is a wasteful number, since it uses less digits than its factorization.

11120001100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120001100200 its reverse (200110002111), we get a palindrome (11320111102311).

The spelling of 11120001100200 in words is "eleven trillion, one hundred twenty billion, one million, one hundred thousand, two hundred".