111101010110112 has 1536 divisors, whose sum is σ = 349228047974400. Its totient is φ = 30619474329600.

The previous prime is 111101010110071. The next prime is 111101010110159. The reversal of 111101010110112 is 211011010101111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 810956278108 + ... + 810956278244.

It is an arithmetic number, because the mean of its divisors is an integer number (227362010400).

Almost surely, 2^{111101010110112} is an apocalyptic number.

111101010110112 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 111101010110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174614023987200).

111101010110112 is an abundant number, since it is smaller than the sum of its proper divisors (238127037864288).

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

111101010110112 is a wasteful number, since it uses less digits than its factorization.

111101010110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 111101010110112 its reverse (211011010101111), we get a palindrome (322112020211223).

Subtracting 111101010110112 from its reverse (211011010101111), we obtain a palindrome (99909999990999).

The spelling of 111101010110112 in words is "one hundred eleven trillion, one hundred one billion, ten million, one hundred ten thousand, one hundred twelve".