11102000111120 has 40 divisors (see below), whose sum is σ = 25836756888600. Its totient is φ = 4436566645760.

The previous prime is 11102000111113. The next prime is 11102000111143. The reversal of 11102000111120 is 2111100020111.

It can be written as a sum of positive squares in 4 ways, for example, as 6975852921856 + 4126147189264 = 2641184^2 + 2031292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66062411 + ... + 66230250.

It is an arithmetic number, because the mean of its divisors is an integer number (645918922215).

Almost surely, 2^{11102000111120} is an apocalyptic number.

11102000111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102000111120 is an abundant number, since it is smaller than the sum of its proper divisors (14734756777480).

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

11102000111120 is a wasteful number, since it uses less digits than its factorization.

11102000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132293723 (or 132293717 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11102000111120 its reverse (2111100020111), we get a palindrome (13213100131231).

The spelling of 11102000111120 in words is "eleven trillion, one hundred two billion, one hundred eleven thousand, one hundred twenty".