11101122200200 has 96 divisors (see below), whose sum is σ = 26050730805000. Its totient is φ = 4399063603200.

The previous prime is 11101122200159. The next prime is 11101122200239. The reversal of 11101122200200 is 200222110111.

It can be written as a sum of positive squares in 12 ways, for example, as 319001299204 + 10782120900996 = 564802^2 + 3283614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164796126 + ... + 164863474.

Almost surely, 2^{11101122200200} is an apocalyptic number.

11101122200200 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 11101122200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025365402500).

11101122200200 is an abundant number, since it is smaller than the sum of its proper divisors (14949608604800).

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

11101122200200 is a wasteful number, since it uses less digits than its factorization.

11101122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75035 (or 75026 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11101122200200 its reverse (200222110111), we get a palindrome (11301344310311).

The spelling of 11101122200200 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred thousand, two hundred".