11141241100 has 72 divisors (see below), whose sum is σ = 26398310400. Its totient is φ = 4047681600.

The previous prime is 11141241077. The next prime is 11141241103. The reversal of 11141241100 is 114214111.

It is not an unprimeable number, because it can be changed into a prime (11141241103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402941 + ... + 1410859.

It is an arithmetic number, because the mean of its divisors is an integer number (366643200).

Almost surely, 2^11141241100 is an apocalyptic number.

11141241100 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 11141241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

11141241100 is an abundant number, since it is smaller than the sum of its proper divisors (15257069300).

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

11141241100 is a wasteful number, since it uses less digits than its factorization.

11141241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11141241100 its reverse (114214111), we get a palindrome (11255455211).

The spelling of 11141241100 in words is "eleven billion, one hundred forty-one million, two hundred forty-one thousand, one hundred".