100201322100 has 216 divisors, whose sum is σ = 319652429824. Its totient is φ = 24216192000.

The previous prime is 100201322077. The next prime is 100201322101. The reversal of 100201322100 is 1223102001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201322101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12229005 + ... + 12237195.

Almost surely, 2^100201322100 is an apocalyptic number.

100201322100 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 100201322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159826214912).

100201322100 is an abundant number, since it is smaller than the sum of its proper divisors (219451107724).

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

100201322100 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (100201322099) it forms an eRAP, since the sums of their prime factors are consecutive (8566 and 8567).

100201322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100201322100 its reverse (1223102001), we get a palindrome (101424424101).

The spelling of 100201322100 in words is "one hundred billion, two hundred one million, three hundred twenty-two thousand, one hundred".