11002022002200 has 192 divisors, whose sum is σ = 34248615984000. Its totient is φ = 2921651389440.

The previous prime is 11002022002187. The next prime is 11002022002201. The reversal of 11002022002200 is 220022020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002022002201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149819892 + ... + 149893308.

It is an arithmetic number, because the mean of its divisors is an integer number (178378208250).

Almost surely, 2^{11002022002200} is an apocalyptic number.

11002022002200 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 11002022002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124307992000).

11002022002200 is an abundant number, since it is smaller than the sum of its proper divisors (23246593981800).

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

11002022002200 is a wasteful number, since it uses less digits than its factorization.

11002022002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74474 (or 74465 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11002022002200 its reverse (220022020011), we get a palindrome (11222044022211).

The spelling of 11002022002200 in words is "eleven trillion, two billion, twenty-two million, two thousand, two hundred".