11122212101100 has 72 divisors (see below), whose sum is σ = 32208226541568. Its totient is φ = 2963346312000.

The previous prime is 11122212101057. The next prime is 11122212101113. The reversal of 11122212101100 is 110121222111.

It is a happy number.

11122212101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11122212101100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15759844 + ... + 16450443.

It is an arithmetic number, because the mean of its divisors is an integer number (447336479744).

Almost surely, 2^{11122212101100} is an apocalyptic number.

11122212101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122212101100 is an abundant number, since it is smaller than the sum of its proper divisors (21086014440468).

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

11122212101100 is a wasteful number, since it uses less digits than its factorization.

11122212101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32211455 (or 32211448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11122212101100 its reverse (110121222111), we get a palindrome (11232333323211).

The spelling of 11122212101100 in words is "eleven trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, one hundred".