23101331100 has 288 divisors, whose sum is σ = 73411301376. Its totient is φ = 5590886400.

The previous prime is 23101331047. The next prime is 23101331107. The reversal of 23101331100 is 113310132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23101331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23101331107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10466197 + ... + 10468403.

It is an arithmetic number, because the mean of its divisors is an integer number (254900352).

Almost surely, 2^23101331100 is an apocalyptic number.

23101331100 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 23101331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36705650688).

23101331100 is an abundant number, since it is smaller than the sum of its proper divisors (50309970276).

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

23101331100 is a wasteful number, since it uses less digits than its factorization.

23101331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 23101331100 its reverse (113310132), we get a palindrome (23214641232).

The spelling of 23101331100 in words is "twenty-three billion, one hundred one million, three hundred thirty-one thousand, one hundred".