23212200100 has 72 divisors (see below), whose sum is σ = 50923568808. Its totient is φ = 9183283200.

The previous prime is 23212200031. The next prime is 23212200107. The reversal of 23212200100 is 100221232.

It can be written as a sum of positive squares in 12 ways, for example, as 20872736676 + 2339463424 = 144474^2 + 48368^2 .

It is not an unprimeable number, because it can be changed into a prime (23212200107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111402 + ... + 6115198.

It is an arithmetic number, because the mean of its divisors is an integer number (707271789).

Almost surely, 2^23212200100 is an apocalyptic number.

23212200100 is a gapful number since it is divisible by the number (20) 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 23212200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25461784404).

23212200100 is an abundant number, since it is smaller than the sum of its proper divisors (27711368708).

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

23212200100 is a wasteful number, since it uses less digits than its factorization.

23212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 23212200100 its reverse (100221232), we get a palindrome (23312421332).

The spelling of 23212200100 in words is "twenty-three billion, two hundred twelve million, two hundred thousand, one hundred".