110105012112 has 80 divisors (see below), whose sum is σ = 286375480320. Its totient is φ = 36452275200.

The previous prime is 110105012107. The next prime is 110105012167. The reversal of 110105012112 is 211210501011.

It is a super-4 number, since 4×110105012112⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 110105012091 and 110105012100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6050964 + ... + 6069132.

It is an arithmetic number, because the mean of its divisors is an integer number (3579693504).

Almost surely, 2^110105012112 is an apocalyptic number.

110105012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110105012112 is an abundant number, since it is smaller than the sum of its proper divisors (176270468208).

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

110105012112 is a wasteful number, since it uses less digits than its factorization.

110105012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19032 (or 19026 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 110105012112 its reverse (211210501011), we get a palindrome (321315513123).

The spelling of 110105012112 in words is "one hundred ten billion, one hundred five million, twelve thousand, one hundred twelve".