11011021122200 has 96 divisors (see below), whose sum is σ = 27946593000000. Its totient is φ = 4001335363200.

The previous prime is 11011021122181. The next prime is 11011021122203. The reversal of 11011021122200 is 222112011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011021122203) 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, 1628351 + ... + 4967249.

It is an arithmetic number, because the mean of its divisors is an integer number (291110343750).

Almost surely, 2^{11011021122200} is an apocalyptic number.

11011021122200 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 11011021122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973296500000).

11011021122200 is an abundant number, since it is smaller than the sum of its proper divisors (16935571877800).

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

11011021122200 is a wasteful number, since it uses less digits than its factorization.

11011021122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340425 (or 3340416 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11011021122200 its reverse (222112011011), we get a palindrome (11233133133211).

The spelling of 11011021122200 in words is "eleven trillion, eleven billion, twenty-one million, one hundred twenty-two thousand, two hundred".