11331120111102 has 224 divisors, whose sum is σ = 27982490739840. Its totient is φ = 3411177624000.

The previous prime is 11331120111089. The next prime is 11331120111239. The reversal of 11331120111102 is 20111102113311.

11331120111102 is a `hidden beast` number, since 1 + 1 + 331 + 120 + 111 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4699758277 + ... + 4699760687.

It is an arithmetic number, because the mean of its divisors is an integer number (124921833660).

Almost surely, 2^{11331120111102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331120111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991245369920).

11331120111102 is an abundant number, since it is smaller than the sum of its proper divisors (16651370628738).

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

11331120111102 is a wasteful number, since it uses less digits than its factorization.

11331120111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11331120111102 its reverse (20111102113311), we get a palindrome (31442222224413).

The spelling of 11331120111102 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred two".