100321302312 has 288 divisors, whose sum is σ = 349646955840. Its totient is φ = 25421299200.

The previous prime is 100321302251. The next prime is 100321302329. The reversal of 100321302312 is 213203123001.

100321302312 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 30 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2480283 + ... + 2520405.

It is an arithmetic number, because the mean of its divisors is an integer number (1214051930).

Almost surely, 2^100321302312 is an apocalyptic number.

100321302312 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 100321302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174823477920).

100321302312 is an abundant number, since it is smaller than the sum of its proper divisors (249325653528).

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

100321302312 is a wasteful number, since it uses less digits than its factorization.

100321302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40205 (or 40187 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100321302312 its reverse (213203123001), we get a palindrome (313524425313).

The spelling of 100321302312 in words is "one hundred billion, three hundred twenty-one million, three hundred two thousand, three hundred twelve".