11000122102200 has 576 divisors, whose sum is σ = 43372198465920. Its totient is φ = 2280550272000.

The previous prime is 11000122102183. The next prime is 11000122102253. The reversal of 11000122102200 is 220122100011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143227810 + ... + 143304590.

It is an arithmetic number, because the mean of its divisors is an integer number (75298955670).

Almost surely, 2^{11000122102200} is an apocalyptic number.

11000122102200 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 11000122102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686099232960).

11000122102200 is an abundant number, since it is smaller than the sum of its proper divisors (32372076363720).

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

11000122102200 is a wasteful number, since it uses less digits than its factorization.

11000122102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77268 (or 77252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11000122102200 its reverse (220122100011), we get a palindrome (11220244202211).

The spelling of 11000122102200 in words is "eleven trillion, one hundred twenty-two million, one hundred two thousand, two hundred".