11002122112200 has 96 divisors (see below), whose sum is σ = 34107115888800. Its totient is φ = 2933853007360.

The previous prime is 11002122112181. The next prime is 11002122112207. The reversal of 11002122112200 is 221122120011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11002122112200.

It is not an unprimeable number, because it can be changed into a prime (11002122112207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56404039 + ... + 56598761.

It is an arithmetic number, because the mean of its divisors is an integer number (355282457175).

Almost surely, 2^{11002122112200} is an apocalyptic number.

11002122112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002122112200 is an abundant number, since it is smaller than the sum of its proper divisors (23104993776600).

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

11002122112200 is a wasteful number, since it uses less digits than its factorization.

11002122112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288911 (or 288902 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11002122112200 its reverse (221122120011), we get a palindrome (11223244232211).

The spelling of 11002122112200 in words is "eleven trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".