110101110002112 has 28 divisors (see below), whose sum is σ = 291309186881096. Its totient is φ = 36700370000640.

The previous prime is 110101110002099. The next prime is 110101110002113. The reversal of 110101110002112 is 211200011101011.

110101110002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×110101110002112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101110002113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286721640439 + ... + 286721640822.

Almost surely, 2^{110101110002112} is an apocalyptic number.

110101110002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110101110002112 is an abundant number, since it is smaller than the sum of its proper divisors (181208076878984).

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

110101110002112 is an equidigital number, since it uses as much as digits as its factorization.

110101110002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573443281276 (or 573443281266 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110101110002112 its reverse (211200011101011), we get a palindrome (321301121103123).

The spelling of 110101110002112 in words is "one hundred ten trillion, one hundred one billion, one hundred ten million, two thousand, one hundred twelve".