100301223312 has 120 divisors (see below), whose sum is σ = 283355554560. Its totient is φ = 33119193600.

The previous prime is 100301223287. The next prime is 100301223329. The reversal of 100301223312 is 213322103001.

100301223312 is a `hidden beast` number, since 10 + 0 + 301 + 22 + 331 + 2 = 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 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, 7973764 + ... + 7986332.

It is an arithmetic number, because the mean of its divisors is an integer number (2361296288).

Almost surely, 2^100301223312 is an apocalyptic number.

100301223312 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 100301223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141677777280).

100301223312 is an abundant number, since it is smaller than the sum of its proper divisors (183054331248).

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

100301223312 is a wasteful number, since it uses less digits than its factorization.

100301223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13101 (or 13092 counting only the distinct ones).

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

Adding to 100301223312 its reverse (213322103001), we get a palindrome (313623326313).

The spelling of 100301223312 in words is "one hundred billion, three hundred one million, two hundred twenty-three thousand, three hundred twelve".