11120011012110 has 1536 divisors, whose sum is σ = 40076757504000. Its totient is φ = 1898097868800.

The previous prime is 11120011012049. The next prime is 11120011012147. The reversal of 11120011012110 is 1121011002111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 74630946316 + ... + 74630946464.

It is an arithmetic number, because the mean of its divisors is an integer number (26091639000).

Almost surely, 2^{11120011012110} is an apocalyptic number.

11120011012110 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 11120011012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038378752000).

11120011012110 is an abundant number, since it is smaller than the sum of its proper divisors (28956746491890).

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

11120011012110 is a wasteful number, since it uses less digits than its factorization.

11120011012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 307 counting only the distinct ones).

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

Adding to 11120011012110 its reverse (1121011002111), we get a palindrome (12241022014221).

Subtracting from 11120011012110 its reverse (1121011002111), we obtain a palindrome (9999000009999).

The spelling of 11120011012110 in words is "eleven trillion, one hundred twenty billion, eleven million, twelve thousand, one hundred ten".