100224131312 has 80 divisors (see below), whose sum is σ = 212937219360. Its totient is φ = 45486465024.

The previous prime is 100224131303. The next prime is 100224131323. The reversal of 100224131312 is 213131422001.

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 15 ways as a sum of consecutive naturals, for example, 7463228 + ... + 7476644.

It is an arithmetic number, because the mean of its divisors is an integer number (2661715242).

Almost surely, 2^100224131312 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 100224131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106468609680).

100224131312 is an abundant number, since it is smaller than the sum of its proper divisors (112713088048).

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

100224131312 is a wasteful number, since it uses less digits than its factorization.

100224131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14418 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100224131312 its reverse (213131422001), we get a palindrome (313355553313).

The spelling of 100224131312 in words is "one hundred billion, two hundred twenty-four million, one hundred thirty-one thousand, three hundred twelve".