110010103112 has 128 divisors (see below), whose sum is σ = 272591101440. Its totient is φ = 40383221760.

The previous prime is 110010103097. The next prime is 110010103123. The reversal of 110010103112 is 211301010011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110010103093 and 110010103102.

It is an unprimeable number.

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, 816098 + ... + 941294.

It is an arithmetic number, because the mean of its divisors is an integer number (2129617980).

Almost surely, 2^110010103112 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 110010103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136295550720).

110010103112 is an abundant number, since it is smaller than the sum of its proper divisors (162580998328).

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

110010103112 is a wasteful number, since it uses less digits than its factorization.

110010103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125311 (or 125307 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 110010103112 its reverse (211301010011), we get a palindrome (321311113123).

The spelling of 110010103112 in words is "one hundred ten billion, ten million, one hundred three thousand, one hundred twelve".