101014224 has 80 divisors (see below), whose sum is σ = 270072000. Its totient is φ = 32514048.

The previous prime is 101014217. The next prime is 101014247. The reversal of 101014224 is 422410101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224752 + ... + 225200.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2^101014224 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 101014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036000).

101014224 is an abundant number, since it is smaller than the sum of its proper divisors (169057776).

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

101014224 is a wasteful number, since it uses less digits than its factorization.

101014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 101014224 is about 10050.5832666567. The cubic root of 101014224 is about 465.7228115704.

Adding to 101014224 its reverse (422410101), we get a palindrome (523424325).

It can be divided in two parts, 10101 and 4224, that multiplied together give a palindrome (42666624).

The spelling of 101014224 in words is "one hundred one million, fourteen thousand, two hundred twenty-four".