11010113234120 has 256 divisors, whose sum is σ = 33590653447680. Its totient is φ = 3136379904000.

The previous prime is 11010113234117. The next prime is 11010113234123. The reversal of 11010113234120 is 2143231101011.

It is an interprime number because it is at equal distance from previous prime (11010113234117) and next prime (11010113234123).

It is a super-4 number, since 4×11010113234120⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11010113234092 and 11010113234101.

It is not an unprimeable number, because it can be changed into a prime (11010113234123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2682764 + ... + 5405316.

It is an arithmetic number, because the mean of its divisors is an integer number (131213490030).

Almost surely, 2^{11010113234120} is an apocalyptic number.

11010113234120 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 11010113234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795326723840).

11010113234120 is an abundant number, since it is smaller than the sum of its proper divisors (22580540213560).

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

11010113234120 is a wasteful number, since it uses less digits than its factorization.

11010113234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722696 (or 2722692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11010113234120 its reverse (2143231101011), we get a palindrome (13153344335131).

The spelling of 11010113234120 in words is "eleven trillion, ten billion, one hundred thirteen million, two hundred thirty-four thousand, one hundred twenty".