11222102110120 has 256 divisors, whose sum is σ = 29200849920000. Its totient is φ = 3842720179200.

The previous prime is 11222102110117. The next prime is 11222102110123. The reversal of 11222102110120 is 2101120122211.

It is an interprime number because it is at equal distance from previous prime (11222102110117) and next prime (11222102110123).

It is a junction number, because it is equal to n+sod(n) for n = 11222102110094 and 11222102110103.

It is not an unprimeable number, because it can be changed into a prime (11222102110123) 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 63 ways as a sum of consecutive naturals, for example, 379123081 + ... + 379152679.

It is an arithmetic number, because the mean of its divisors is an integer number (114065820000).

Almost surely, 2^{11222102110120} is an apocalyptic number.

11222102110120 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 11222102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14600424960000).

11222102110120 is an abundant number, since it is smaller than the sum of its proper divisors (17978747809880).

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

11222102110120 is a wasteful number, since it uses less digits than its factorization.

11222102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30384 (or 30380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11222102110120 its reverse (2101120122211), we get a palindrome (13323222232331).

The spelling of 11222102110120 in words is "eleven trillion, two hundred twenty-two billion, one hundred two million, one hundred ten thousand, one hundred twenty".