11003101120 has 336 divisors, whose sum is σ = 30647030400. Its totient is φ = 3753164800.

The previous prime is 11003101103. The next prime is 11003101129. The reversal of 11003101120 is 2110130011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11003101097 and 11003101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003101129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46037961 + ... + 46038199.

It is an arithmetic number, because the mean of its divisors is an integer number (91211400).

Almost surely, 2^11003101120 is an apocalyptic number.

11003101120 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 11003101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15323515200).

11003101120 is an abundant number, since it is smaller than the sum of its proper divisors (19643929280).

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

11003101120 is a wasteful number, since it uses less digits than its factorization.

11003101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11003101120 its reverse (2110130011), we get a palindrome (13113231131).

The spelling of 11003101120 in words is "eleven billion, three million, one hundred one thousand, one hundred twenty".