11111022101200 has 240 divisors, whose sum is σ = 31044052359040. Its totient is φ = 3743083560960.

The previous prime is 11111022101191. The next prime is 11111022101203. The reversal of 11111022101200 is 210122011111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111022101203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37605244 + ... + 37899556.

Almost surely, 2^{11111022101200} is an apocalyptic number.

11111022101200 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 11111022101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522026179520).

11111022101200 is an abundant number, since it is smaller than the sum of its proper divisors (19933030257840).

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

11111022101200 is a wasteful number, since it uses less digits than its factorization.

11111022101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294574 (or 294563 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11111022101200 its reverse (210122011111), we get a palindrome (11321144112311).

The spelling of 11111022101200 in words is "eleven trillion, one hundred eleven billion, twenty-two million, one hundred one thousand, two hundred".