11101111101100 has 144 divisors (see below), whose sum is σ = 25122241573632. Its totient is φ = 4253040000000.

The previous prime is 11101111101071. The next prime is 11101111101133. The reversal of 11101111101100 is 110111110111.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121206150 + ... + 1121216050.

It is an arithmetic number, because the mean of its divisors is an integer number (174460010928).

Almost surely, 2^{11101111101100} is an apocalyptic number.

11101111101100 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 11101111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561120786816).

11101111101100 is an abundant number, since it is smaller than the sum of its proper divisors (14021130472532).

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

11101111101100 is a wasteful number, since it uses less digits than its factorization.

11101111101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13628 (or 13621 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11101111101100 its reverse (110111110111), we get a palindrome (11211222211211).

It can be divided in two parts, 111011 and 11101100, that multiplied together give a square (1232344212100 = 1110110²).

The spelling of 11101111101100 in words is "eleven trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred".