11011120021110 has 288 divisors, whose sum is σ = 31045149918720. Its totient is φ = 2496835186560.

The previous prime is 11011120021087. The next prime is 11011120021117. The reversal of 11011120021110 is 1112002111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011120021117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103470789 + ... + 103577151.

It is an arithmetic number, because the mean of its divisors is an integer number (107795659440).

Almost surely, 2^{11011120021110} is an apocalyptic number.

11011120021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011120021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522574959360).

11011120021110 is an abundant number, since it is smaller than the sum of its proper divisors (20034029897610).

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

11011120021110 is a wasteful number, since it uses less digits than its factorization.

11011120021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106512 (or 106482 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11011120021110 its reverse (1112002111011), we get a palindrome (12123122132121).

The spelling of 11011120021110 in words is "eleven trillion, eleven billion, one hundred twenty million, twenty-one thousand, one hundred ten".