11102333103120 has 640 divisors, whose sum is σ = 41132407357440. Its totient is φ = 2423991582720.

The previous prime is 11102333103107. The next prime is 11102333103131. The reversal of 11102333103120 is 2130133320111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1277153494 + ... + 1277162186.

It is an arithmetic number, because the mean of its divisors is an integer number (64269386496).

Almost surely, 2^{11102333103120} is an apocalyptic number.

11102333103120 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 11102333103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20566203678720).

11102333103120 is an abundant number, since it is smaller than the sum of its proper divisors (30030074254320).

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

11102333103120 is a wasteful number, since it uses less digits than its factorization.

11102333103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9063 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11102333103120 its reverse (2130133320111), we get a palindrome (13232466423231).

The spelling of 11102333103120 in words is "eleven trillion, one hundred two billion, three hundred thirty-three million, one hundred three thousand, one hundred twenty".