101221824 has 84 divisors (see below), whose sum is σ = 294443912. Its totient is φ = 30666240.

The previous prime is 101221819. The next prime is 101221829. The reversal of 101221824 is 428122101.

It is an interprime number because it is at equal distance from previous prime (101221819) and next prime (101221829).

It is a self number, because there is not a number n which added to its sum of digits gives 101221824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21054 + ... + 25410.

Almost surely, 2^101221824 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 101221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147221956).

101221824 is an abundant number, since it is smaller than the sum of its proper divisors (193222088).

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

101221824 is a wasteful number, since it uses less digits than its factorization.

101221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 101221824 is about 10060.9057246353. The cubic root of 101221824 is about 466.0416376188.

Adding to 101221824 its reverse (428122101), we get a palindrome (529343925).

The spelling of 101221824 in words is "one hundred one million, two hundred twenty-one thousand, eight hundred twenty-four".