11121112221100 has 288 divisors, whose sum is σ = 28750853577600. Its totient is φ = 3731269248000.

The previous prime is 11121112221047. The next prime is 11121112221103. The reversal of 11121112221100 is 112221112111.

11121112221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11121112221103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 412169610 + ... + 412196590.

It is an arithmetic number, because the mean of its divisors is an integer number (99829352700).

Almost surely, 2^{11121112221100} is an apocalyptic number.

11121112221100 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 11121112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375426788800).

11121112221100 is an abundant number, since it is smaller than the sum of its proper divisors (17629741356500).

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

11121112221100 is a wasteful number, since it uses less digits than its factorization.

11121112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27274 (or 27253 counting only the distinct ones).

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

Adding to 11121112221100 its reverse (112221112111), we get a palindrome (11233333333211).

The spelling of 11121112221100 in words is "eleven trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".