11010112120 has 128 divisors (see below), whose sum is σ = 29117491200. Its totient is φ = 3668198400.

The previous prime is 11010112103. The next prime is 11010112159. The reversal of 11010112120 is 2121101011.

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 = 11010112097 and 11010112106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3109311 + ... + 3112849.

It is an arithmetic number, because the mean of its divisors is an integer number (227480400).

Almost surely, 2^11010112120 is an apocalyptic number.

11010112120 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 11010112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558745600).

11010112120 is an abundant number, since it is smaller than the sum of its proper divisors (18107379080).

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

11010112120 is a wasteful number, since it uses less digits than its factorization.

11010112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11010112120 its reverse (2121101011), we get a palindrome (13131213131).

It can be divided in two parts, 110101 and 12120, that added together give a palindrome (122221).

The spelling of 11010112120 in words is "eleven billion, ten million, one hundred twelve thousand, one hundred twenty".