110002022122120 has 128 divisors (see below), whose sum is σ = 262052645299200. Its totient is φ = 41490055065600.

The previous prime is 110002022122081. The next prime is 110002022122121. The reversal of 110002022122120 is 21221220200011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110002022122094 and 110002022122103.

It is not an unprimeable number, because it can be changed into a prime (110002022122121) by changing a digit.

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, 38636436 + ... + 41385724.

It is an arithmetic number, because the mean of its divisors is an integer number (2047286291400).

Almost surely, 2^{110002022122120} is an apocalyptic number.

110002022122120 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 110002022122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131026322649600).

110002022122120 is an abundant number, since it is smaller than the sum of its proper divisors (152050623177080).

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

110002022122120 is a wasteful number, since it uses less digits than its factorization.

110002022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750159 (or 2750155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110002022122120 its reverse (21221220200011), we get a palindrome (131223242322131).

The spelling of 110002022122120 in words is "one hundred ten trillion, two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".