110122121112120 has 384 divisors, whose sum is σ = 396174958320960. Its totient is φ = 26360165744640.

The previous prime is 110122121112079. The next prime is 110122121112131. The reversal of 110122121112120 is 21211121221011.

It is a happy number.

110122121112120 is a `hidden beast` number, since 1 + 101 + 221 + 211 + 12 + 120 = 666.

It is a super-2 number, since 2×110122121112120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110122121112093 and 110122121112102.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 26064055 + ... + 29992985.

Almost surely, 2^{110122121112120} is an apocalyptic number.

110122121112120 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 110122121112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198087479160480).

110122121112120 is an abundant number, since it is smaller than the sum of its proper divisors (286052837208840).

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

110122121112120 is a wasteful number, since it uses less digits than its factorization.

110122121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929127 (or 3929120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110122121112120 its reverse (21211121221011), we get a palindrome (131333242333131).

The spelling of 110122121112120 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".