101224224 has 72 divisors (see below), whose sum is σ = 290161872. Its totient is φ = 33471360.

The previous prime is 101224213. The next prime is 101224237. The reversal of 101224224 is 422422101.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 101224197 and 101224206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36387 + ... + 39069.

It is an arithmetic number, because the mean of its divisors is an integer number (4030026).

Almost surely, 2^101224224 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 101224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080936).

101224224 is an abundant number, since it is smaller than the sum of its proper divisors (188937648).

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

101224224 is a wasteful number, since it uses less digits than its factorization.

101224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 101224224 is about 10061.0249974841. The cubic root of 101224224 is about 466.0453209190.

Adding to 101224224 its reverse (422422101), we get a palindrome (523646325).

The spelling of 101224224 in words is "one hundred one million, two hundred twenty-four thousand, two hundred twenty-four".