110111220002112 has 224 divisors, whose sum is σ = 342221707345920. Its totient is φ = 30586118400000.

The previous prime is 110111220002071. The next prime is 110111220002129. The reversal of 110111220002112 is 211200022111011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 110111220002091 and 110111220002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62736487 + ... + 64467737.

Almost surely, 2^{110111220002112} is an apocalyptic number.

110111220002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110111220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171110853672960).

110111220002112 is an abundant number, since it is smaller than the sum of its proper divisors (232110487343808).

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

110111220002112 is a wasteful number, since it uses less digits than its factorization.

110111220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732589 (or 1732579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110111220002112 its reverse (211200022111011), we get a palindrome (321311242113123).

The spelling of 110111220002112 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twenty million, two thousand, one hundred twelve".