100224223112 has 64 divisors (see below), whose sum is σ = 214353987120. Its totient is φ = 43521343488.

The previous prime is 100224223093. The next prime is 100224223117. The reversal of 100224223112 is 211322422001.

It can be written as a sum of positive squares in 8 ways, for example, as 34541709316 + 65682513796 = 185854^2 + 256286^2 .

It is not an unprimeable number, because it can be changed into a prime (100224223117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6280808 + ... + 6296744.

Almost surely, 2^100224223112 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 100224223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107176993560).

100224223112 is an abundant number, since it is smaller than the sum of its proper divisors (114129764008).

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

100224223112 is a wasteful number, since it uses less digits than its factorization.

100224223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19530 (or 19526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100224223112 its reverse (211322422001), we get a palindrome (311546645113).

The spelling of 100224223112 in words is "one hundred billion, two hundred twenty-four million, two hundred twenty-three thousand, one hundred twelve".