100333321020 has 144 divisors (see below), whose sum is σ = 322473584160. Its totient is φ = 25163993088.

The previous prime is 100333320991. The next prime is 100333321079. The reversal of 100333321020 is 20123333001.

100333321020 is a `hidden beast` number, since 10 + 0 + 333 + 321 + 0 + 2 + 0 = 666.

100333321020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 100333320984 and 100333321002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4649616 + ... + 4671144.

It is an arithmetic number, because the mean of its divisors is an integer number (2239399890).

Almost surely, 2^100333321020 is an apocalyptic number.

100333321020 is a gapful number since it is divisible by the number (10) 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 100333321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161236792080).

100333321020 is an abundant number, since it is smaller than the sum of its proper divisors (222140263140).

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

100333321020 is a wasteful number, since it uses less digits than its factorization.

100333321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084 (or 23079 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100333321020 its reverse (20123333001), we get a palindrome (120456654021).

The spelling of 100333321020 in words is "one hundred billion, three hundred thirty-three million, three hundred twenty-one thousand, twenty".