100322322100 has 432 divisors, whose sum is σ = 296737257600. Its totient is φ = 28646323200.

The previous prime is 100322322083. The next prime is 100322322101. The reversal of 100322322100 is 1223223001.

It is a super-2 number, since 2×100322322100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322322101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197096646 + ... + 197097154.

It is an arithmetic number, because the mean of its divisors is an integer number (686891800).

Almost surely, 2^100322322100 is an apocalyptic number.

100322322100 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 100322322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148368628800).

100322322100 is an abundant number, since it is smaller than the sum of its proper divisors (196414935500).

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

100322322100 is a wasteful number, since it uses less digits than its factorization.

100322322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100322322100 its reverse (1223223001), we get a palindrome (101545545101).

Subtracting from 100322322100 its reverse (1223223001), we obtain a palindrome (99099099099).

The spelling of 100322322100 in words is "one hundred billion, three hundred twenty-two million, three hundred twenty-two thousand, one hundred".