100421440402224 has 160 divisors (see below), whose sum is σ = 274902240130560. Its totient is φ = 31479534637056.

The previous prime is 100421440402219. The next prime is 100421440402253. The reversal of 100421440402224 is 422204044124001.

It is a junction number, because it is equal to n+sod(n) for n = 100421440402191 and 100421440402200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11104876647 + ... + 11104885689.

It is an arithmetic number, because the mean of its divisors is an integer number (1718139000816).

Almost surely, 2^{100421440402224} 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 100421440402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137451120065280).

100421440402224 is an abundant number, since it is smaller than the sum of its proper divisors (174480799728336).

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

100421440402224 is a wasteful number, since it uses less digits than its factorization.

100421440402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18467 (or 18461 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 100421440402224 its reverse (422204044124001), we get a palindrome (522625484526225).

The spelling of 100421440402224 in words is "one hundred trillion, four hundred twenty-one billion, four hundred forty million, four hundred two thousand, two hundred twenty-four".