11002200212200 has 192 divisors, whose sum is σ = 26127546859440. Its totient is φ = 4307739770880.

The previous prime is 11002200212189. The next prime is 11002200212219. The reversal of 11002200212200 is 221200220011.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 2489938826116 + 8512261386084 = 1577954^2 + 2917578^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064758234 + ... + 1064768566.

Almost surely, 2^{11002200212200} is an apocalyptic number.

11002200212200 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 11002200212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063773429720).

11002200212200 is an abundant number, since it is smaller than the sum of its proper divisors (15125346647240).

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

11002200212200 is a wasteful number, since it uses less digits than its factorization.

11002200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11002200212200 its reverse (221200220011), we get a palindrome (11223400432211).

The spelling of 11002200212200 in words is "eleven trillion, two billion, two hundred million, two hundred twelve thousand, two hundred".