11102120011220 has 144 divisors (see below), whose sum is σ = 27281593252368. Its totient is φ = 3783903621120.

The previous prime is 11102120011159. The next prime is 11102120011223. The reversal of 11102120011220 is 2211002120111.

It can be written as a sum of positive squares in 8 ways, for example, as 533782204816 + 10568337806404 = 730604^2 + 3250898^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11102120011195 and 11102120011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102120011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502506494 + ... + 502528586.

It is an arithmetic number, because the mean of its divisors is an integer number (189455508697).

Almost surely, 2^{11102120011220} is an apocalyptic number.

11102120011220 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 11102120011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640796626184).

11102120011220 is an abundant number, since it is smaller than the sum of its proper divisors (16179473241148).

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

11102120011220 is a wasteful number, since it uses less digits than its factorization.

11102120011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25130 (or 25121 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11102120011220 its reverse (2211002120111), we get a palindrome (13313122131331).

The spelling of 11102120011220 in words is "eleven trillion, one hundred two billion, one hundred twenty million, eleven thousand, two hundred twenty".