110122113100120 has 256 divisors, whose sum is σ = 288841141555200. Its totient is φ = 37361725632000.

The previous prime is 110122113100091. The next prime is 110122113100123. The reversal of 110122113100120 is 21001311221011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110122113100094 and 110122113100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122113100123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627501965 + ... + 2627543875.

It is an arithmetic number, because the mean of its divisors is an integer number (1128285709200).

Almost surely, 2^{110122113100120} is an apocalyptic number.

110122113100120 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 110122113100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144420570777600).

110122113100120 is an abundant number, since it is smaller than the sum of its proper divisors (178719028455080).

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

110122113100120 is a wasteful number, since it uses less digits than its factorization.

110122113100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46710 (or 46706 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 110122113100120 its reverse (21001311221011), we get a palindrome (131123424321131).

The spelling of 110122113100120 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred thousand, one hundred twenty".