100123321312 has 144 divisors (see below), whose sum is σ = 243670781088. Its totient is φ = 40239144960.

The previous prime is 100123321297. The next prime is 100123321349. The reversal of 100123321312 is 213123321001.

It is a self number, because there is not a number n which added to its sum of digits gives 100123321312.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7483653 + ... + 7497019.

It is an arithmetic number, because the mean of its divisors is an integer number (1692158202).

Almost surely, 2^100123321312 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 100123321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121835390544).

100123321312 is an abundant number, since it is smaller than the sum of its proper divisors (143547459776).

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

100123321312 is a wasteful number, since it uses less digits than its factorization.

100123321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13689 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100123321312 its reverse (213123321001), we get a palindrome (313246642313).

The spelling of 100123321312 in words is "one hundred billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred twelve".