233212100100 has 288 divisors, whose sum is σ = 782549913600. Its totient is φ = 52520832000.

The previous prime is 233212100057. The next prime is 233212100117. The reversal of 233212100100 is 1001212332.

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 233212100100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99704731 + ... + 99707069.

It is an arithmetic number, because the mean of its divisors is an integer number (2717187200).

Almost surely, 2^233212100100 is an apocalyptic number.

233212100100 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 233212100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391274956800).

233212100100 is an abundant number, since it is smaller than the sum of its proper divisors (549337813500).

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

233212100100 is a wasteful number, since it uses less digits than its factorization.

233212100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 233212100100 its reverse (1001212332), we get a palindrome (234213312432).

The spelling of 233212100100 in words is "two hundred thirty-three billion, two hundred twelve million, one hundred thousand, one hundred".