11100222221120 has 224 divisors, whose sum is σ = 28123549747200. Its totient is φ = 4163980068864.

The previous prime is 11100222221107. The next prime is 11100222221177. The reversal of 11100222221120 is 2112222200111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164543237 + ... + 164610683.

Almost surely, 2^{11100222221120} is an apocalyptic number.

11100222221120 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 11100222221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061774873600).

11100222221120 is an abundant number, since it is smaller than the sum of its proper divisors (17023327526080).

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

11100222221120 is a wasteful number, since it uses less digits than its factorization.

11100222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67925 (or 67915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11100222221120 its reverse (2112222200111), we get a palindrome (13212444421231).

The spelling of 11100222221120 in words is "eleven trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".