11021110122120 has 384 divisors, whose sum is σ = 39927583238400. Its totient is φ = 2383685148672.

The previous prime is 11021110122097. The next prime is 11021110122133. The reversal of 11021110122120 is 2122101112011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11021110122120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259855476 + ... + 259897884.

It is an arithmetic number, because the mean of its divisors is an integer number (103978081350).

Almost surely, 2^{11021110122120} is an apocalyptic number.

11021110122120 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 11021110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19963791619200).

11021110122120 is an abundant number, since it is smaller than the sum of its proper divisors (28906473116280).

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

11021110122120 is a wasteful number, since it uses less digits than its factorization.

11021110122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43325 (or 43302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11021110122120 its reverse (2122101112011), we get a palindrome (13143211234131).

The spelling of 11021110122120 in words is "eleven trillion, twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".