11201110001100 has 108 divisors (see below), whose sum is σ = 35128067456664. Its totient is φ = 2985362346240.

The previous prime is 11201110001093. The next prime is 11201110001209. The reversal of 11201110001100 is 110001110211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1652769 + ... + 5013368.

It is an arithmetic number, because the mean of its divisors is an integer number (325259883858).

Almost surely, 2^{11201110001100} is an apocalyptic number.

11201110001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201110001100 is an abundant number, since it is smaller than the sum of its proper divisors (23926957455564).

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

11201110001100 is a wasteful number, since it uses less digits than its factorization.

11201110001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668024 (or 6668014 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11201110001100 its reverse (110001110211), we get a palindrome (11311111111311).

The spelling of 11201110001100 in words is "eleven trillion, two hundred one billion, one hundred ten million, one thousand, one hundred".