110002122310122 has 192 divisors, whose sum is σ = 297738537467904. Its totient is φ = 28631804313600.

The previous prime is 110002122310109. The next prime is 110002122310123. The reversal of 110002122310122 is 221013221200011.

110002122310122 is a `hidden beast` number, since 1 + 100 + 0 + 212 + 231 + 0 + 122 = 666.

110002122310122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110002122310122³ (a number of 43 digits) contains 333 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 = 110002122310095 and 110002122310104.

It is not an unprimeable number, because it can be changed into a prime (110002122310123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11700247 + ... + 18891797.

It is an arithmetic number, because the mean of its divisors is an integer number (1550721549312).

Almost surely, 2^{110002122310122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002122310122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148869268733952).

110002122310122 is an abundant number, since it is smaller than the sum of its proper divisors (187736415157782).

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

110002122310122 is a wasteful number, since it uses less digits than its factorization.

110002122310122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191813 (or 7191810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110002122310122 its reverse (221013221200011), we get a palindrome (331015343510133).

The spelling of 110002122310122 in words is "one hundred ten trillion, two billion, one hundred twenty-two million, three hundred ten thousand, one hundred twenty-two".