100010221024 has 96 divisors (see below), whose sum is σ = 226472440320. Its totient is φ = 42586255872.

The previous prime is 100010220997. The next prime is 100010221037. The reversal of 100010221024 is 420122010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100010220995 and 100010221013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28877917 + ... + 28881379.

It is an arithmetic number, because the mean of its divisors is an integer number (2359087920).

Almost surely, 2^100010221024 is an apocalyptic number.

100010221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113236220160).

100010221024 is an abundant number, since it is smaller than the sum of its proper divisors (126462219296).

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

100010221024 is a wasteful number, since it uses less digits than its factorization.

100010221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100010221024 its reverse (420122010001), we get a palindrome (520132231025).

The spelling of 100010221024 in words is "one hundred billion, ten million, two hundred twenty-one thousand, twenty-four".