11101111221100 has 144 divisors (see below), whose sum is σ = 24642180612000. Its totient is φ = 4339246878720.

The previous prime is 11101111221043. The next prime is 11101111221121. The reversal of 11101111221100 is 112211110111.

It is an unprimeable number.

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, 2854487956 + ... + 2854491844.

It is an arithmetic number, because the mean of its divisors is an integer number (171126254250).

Almost surely, 2^{11101111221100} is an apocalyptic number.

11101111221100 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 11101111221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321090306000).

11101111221100 is an abundant number, since it is smaller than the sum of its proper divisors (13541069390900).

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

11101111221100 is a wasteful number, since it uses less digits than its factorization.

11101111221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11101111221100 its reverse (112211110111), we get a palindrome (11213322331211).

The spelling of 11101111221100 in words is "eleven trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred".