110122102001112 has 64 divisors (see below), whose sum is σ = 276735535020000. Its totient is φ = 36516668596224.

The previous prime is 110122102001111. The next prime is 110122102001113. The reversal of 110122102001112 is 211100201221011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110122102001111) and next prime (110122102001113).

It is a junction number, because it is equal to n+sod(n) for n = 110122102001091 and 110122102001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122102001111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 496944514 + ... + 497166062.

Almost surely, 2^{110122102001112} is an apocalyptic number.

110122102001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110122102001112 is an abundant number, since it is smaller than the sum of its proper divisors (166613433018888).

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

110122102001112 is a wasteful number, since it uses less digits than its factorization.

110122102001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329060 (or 329056 counting only the distinct ones).

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

Adding to 110122102001112 its reverse (211100201221011), we get a palindrome (321222303222123).

The spelling of 110122102001112 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred two million, one thousand, one hundred twelve".