110102112001112 has 128 divisors (see below), whose sum is σ = 263526225431040. Its totient is φ = 41874020858880.

The previous prime is 110102112001109. The next prime is 110102112001117. The reversal of 110102112001112 is 211100211201011.

It is a super-2 number, since 2×110102112001112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102112001117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42636338 + ... + 45144894.

It is an arithmetic number, because the mean of its divisors is an integer number (2058798636180).

Almost surely, 2^{110102112001112} 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 110102112001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131763112715520).

110102112001112 is an abundant number, since it is smaller than the sum of its proper divisors (153424113429928).

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

110102112001112 is a wasteful number, since it uses less digits than its factorization.

110102112001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510281 (or 2510277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110102112001112 its reverse (211100211201011), we get a palindrome (321202323202123).

The spelling of 110102112001112 in words is "one hundred ten trillion, one hundred two billion, one hundred twelve million, one thousand, one hundred twelve".