110110002010112 has 192 divisors, whose sum is σ = 247851118045440. Its totient is φ = 48523941937152.

The previous prime is 110110002010049. The next prime is 110110002010133. The reversal of 110110002010112 is 211010200011011.

It is a junction number, because it is equal to n+sod(n) for n = 110110002010093 and 110110002010102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 344594483 + ... + 344913869.

It is an arithmetic number, because the mean of its divisors is an integer number (1290891239820).

Almost surely, 2^{110110002010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123925559022720).

110110002010112 is an abundant number, since it is smaller than the sum of its proper divisors (137741116035328).

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

110110002010112 is a wasteful number, since it uses less digits than its factorization.

110110002010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320008 (or 319988 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110110002010112 its reverse (211010200011011), we get a palindrome (321120202021123).

The spelling of 110110002010112 in words is "one hundred ten trillion, one hundred ten billion, two million, ten thousand, one hundred twelve".