100110122112 has 512 divisors, whose sum is σ = 366737817600. Its totient is φ = 23350394880.

The previous prime is 100110122033. The next prime is 100110122209. The reversal of 100110122112 is 211221011001.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14218689 + ... + 14225727.

It is an arithmetic number, because the mean of its divisors is an integer number (716284800).

Almost surely, 2^100110122112 is an apocalyptic number.

100110122112 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 100110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183368908800).

100110122112 is an abundant number, since it is smaller than the sum of its proper divisors (266627695488).

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

100110122112 is a wasteful number, since it uses less digits than its factorization.

100110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7112 counting only the distinct ones).

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

Adding to 100110122112 its reverse (211221011001), we get a palindrome (311331133113).

Subtracting 100110122112 from its reverse (211221011001), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 100110 and 122112, that added together give a palindrome (222222).

The spelling of 100110122112 in words is "one hundred billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".