11101112110100 has 72 divisors (see below), whose sum is σ = 24341759423520. Its totient is φ = 4394137576320.

The previous prime is 11101112110097. The next prime is 11101112110117. The reversal of 11101112110100 is 101121110111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966582 + ... + 5568018.

Almost surely, 2^{11101112110100} is an apocalyptic number.

11101112110100 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 11101112110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12170879711760).

11101112110100 is an abundant number, since it is smaller than the sum of its proper divisors (13240647313420).

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

11101112110100 is a wasteful number, since it uses less digits than its factorization.

11101112110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601897 (or 2601890 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11101112110100 its reverse (101121110111), we get a palindrome (11202233220211).

The spelling of 11101112110100 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred ten thousand, one hundred".