110100212112 has 160 divisors (see below), whose sum is σ = 325765149696. Its totient is φ = 31716748800.

The previous prime is 110100212039. The next prime is 110100212119. The reversal of 110100212112 is 211212001011.

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

It is not an unprimeable number, because it can be changed into a prime (110100212119) 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, 1951662 + ... + 2007282.

Almost surely, 2^110100212112 is an apocalyptic number.

110100212112 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 110100212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162882574848).

110100212112 is an abundant number, since it is smaller than the sum of its proper divisors (215664937584).

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

110100212112 is a wasteful number, since it uses less digits than its factorization.

110100212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55829 (or 55823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110100212112 its reverse (211212001011), we get a palindrome (321312213123).

The spelling of 110100212112 in words is "one hundred ten billion, one hundred million, two hundred twelve thousand, one hundred twelve".