110101101010112 has 168 divisors, whose sum is σ = 242221764624336. Its totient is φ = 49479091830784.

The previous prime is 110101101010039. The next prime is 110101101010123. The reversal of 110101101010112 is 211010101101011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110101101010093 and 110101101010102.

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 23 ways as a sum of consecutive naturals, for example, 354960563 + ... + 355270605.

It is an arithmetic number, because the mean of its divisors is an integer number (1441796218002).

Almost surely, 2^{110101101010112} 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 110101101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121110882312168).

110101101010112 is an abundant number, since it is smaller than the sum of its proper divisors (132120663614224).

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

110101101010112 is a wasteful number, since it uses less digits than its factorization.

110101101010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310735 (or 310702 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110101101010112 its reverse (211010101101011), we get a palindrome (321111202111123).

The spelling of 110101101010112 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, ten thousand, one hundred twelve".