110001110100112 has 180 divisors, whose sum is σ = 273880315329600. Its totient is φ = 42642203345280.

The previous prime is 110001110100097. The next prime is 110001110100113. The reversal of 110001110100112 is 211001011100011.

It is not an unprimeable number, because it can be changed into a prime (110001110100113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15964453 + ... + 21791419.

Almost surely, 2^{110001110100112} 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 110001110100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940157664800).

110001110100112 is an abundant number, since it is smaller than the sum of its proper divisors (163879205229488).

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

110001110100112 is a wasteful number, since it uses less digits than its factorization.

110001110100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5827210 (or 5827186 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110001110100112 its reverse (211001011100011), we get a palindrome (321002121200123).

The spelling of 110001110100112 in words is "one hundred ten trillion, one billion, one hundred ten million, one hundred thousand, one hundred twelve".