11002200101200 has 240 divisors, whose sum is σ = 33061155379200. Its totient is φ = 3418227648000.

The previous prime is 11002200101147. The next prime is 11002200101209. The reversal of 11002200101200 is 210100220011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002200101209) 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, 9004501 + ... + 10153099.

It is an arithmetic number, because the mean of its divisors is an integer number (137754814080).

Almost surely, 2^{11002200101200} is an apocalyptic number.

11002200101200 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 11002200101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530577689600).

11002200101200 is an abundant number, since it is smaller than the sum of its proper divisors (22058955278000).

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

11002200101200 is a wasteful number, since it uses less digits than its factorization.

11002200101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148946 (or 1148935 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11002200101200 its reverse (210100220011), we get a palindrome (11212300321211).

The spelling of 11002200101200 in words is "eleven trillion, two billion, two hundred million, one hundred one thousand, two hundred".