100021330100 has 72 divisors (see below), whose sum is σ = 217972533240. Its totient is φ = 39838164480.

The previous prime is 100021330069. The next prime is 100021330147. The reversal of 100021330100 is 1033120001.

It can be written as a sum of positive squares in 12 ways, for example, as 78342890404 + 21678439696 = 279898^2 + 147236^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28831166 + ... + 28834634.

It is an arithmetic number, because the mean of its divisors is an integer number (3027396295).

Almost surely, 2^100021330100 is an apocalyptic number.

100021330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021330100 is an abundant number, since it is smaller than the sum of its proper divisors (117951203140).

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

100021330100 is a wasteful number, since it uses less digits than its factorization.

100021330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100021330100 its reverse (1033120001), we get a palindrome (101054450101).

The spelling of 100021330100 in words is "one hundred billion, twenty-one million, three hundred thirty thousand, one hundred".