233123122100 has 144 divisors (see below), whose sum is σ = 555500695680. Its totient is φ = 84215539200.

The previous prime is 233123122079. The next prime is 233123122109. The reversal of 233123122100 is 1221321332.

233123122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233123122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170535617 + ... + 170536983.

It is an arithmetic number, because the mean of its divisors is an integer number (3857643720).

Almost surely, 2^233123122100 is an apocalyptic number.

233123122100 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 233123122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277750347840).

233123122100 is an abundant number, since it is smaller than the sum of its proper divisors (322377573580).

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

233123122100 is a wasteful number, since it uses less digits than its factorization.

233123122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233123122100 its reverse (1221321332), we get a palindrome (234344443432).

The spelling of 233123122100 in words is "two hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-two thousand, one hundred".