11121100011100 has 144 divisors (see below), whose sum is σ = 24660778484160. Its totient is φ = 4352220928000.

The previous prime is 11121100011083. The next prime is 11121100011107. The reversal of 11121100011100 is 111000112111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121100011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097131049 + ... + 2097136351.

It is an arithmetic number, because the mean of its divisors is an integer number (171255406140).

Almost surely, 2^{11121100011100} is an apocalyptic number.

11121100011100 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 11121100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330389242080).

11121100011100 is an abundant number, since it is smaller than the sum of its proper divisors (13539678473060).

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

11121100011100 is a wasteful number, since it uses less digits than its factorization.

11121100011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11121100011100 its reverse (111000112111), we get a palindrome (11232100123211).

The spelling of 11121100011100 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, eleven thousand, one hundred".