11211110111100 has 288 divisors, whose sum is σ = 34233272819200. Its totient is φ = 2824946150400.

The previous prime is 11211110111093. The next prime is 11211110111129. The reversal of 11211110111100 is 111101111211.

11211110111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6717261066 + ... + 6717262734.

Almost surely, 2^{11211110111100} is an apocalyptic number.

11211110111100 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 11211110111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116636409600).

11211110111100 is an abundant number, since it is smaller than the sum of its proper divisors (23022162708100).

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

11211110111100 is a wasteful number, since it uses less digits than its factorization.

11211110111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11211110111100 its reverse (111101111211), we get a palindrome (11322211222311).

The spelling of 11211110111100 in words is "eleven trillion, two hundred eleven billion, one hundred ten million, one hundred eleven thousand, one hundred".