11021112211120 has 160 divisors (see below), whose sum is σ = 28170874448640. Its totient is φ = 3976616832000.

The previous prime is 11021112211079. The next prime is 11021112211129. The reversal of 11021112211120 is 2111221112011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11021112211094 and 11021112211103.

It is not an unprimeable number, because it can be changed into a prime (11021112211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72540835 + ... + 72692605.

It is an arithmetic number, because the mean of its divisors is an integer number (176067965304).

Almost surely, 2^{11021112211120} is an apocalyptic number.

11021112211120 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 11021112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085437224320).

11021112211120 is an abundant number, since it is smaller than the sum of its proper divisors (17149762237520).

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

11021112211120 is a wasteful number, since it uses less digits than its factorization.

11021112211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152435 (or 152429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11021112211120 its reverse (2111221112011), we get a palindrome (13132333323131).

The spelling of 11021112211120 in words is "eleven trillion, twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".