23330032100100 has 216 divisors, whose sum is σ = 79786426591872. Its totient is φ = 5654924793600.

The previous prime is 23330032100077. The next prime is 23330032100101. The reversal of 23330032100100 is 100123003332.

23330032100100 is a `hidden beast` number, since 2 + 3 + 330 + 0 + 321 + 0 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23330032100101) 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, 67772014 + ... + 68115386.

It is an arithmetic number, because the mean of its divisors is an integer number (369381604592).

Almost surely, 2^{23330032100100} is an apocalyptic number.

23330032100100 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 23330032100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39893213295936).

23330032100100 is an abundant number, since it is smaller than the sum of its proper divisors (56456394491772).

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

23330032100100 is a wasteful number, since it uses less digits than its factorization.

23330032100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350267 (or 350257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23330032100100 its reverse (100123003332), we get a palindrome (23430155103432).

The spelling of 23330032100100 in words is "twenty-three trillion, three hundred thirty billion, thirty-two million, one hundred thousand, one hundred".