232121100 has 144 divisors (see below), whose sum is σ = 713982080. Its totient is φ = 58060800.

The previous prime is 232121089. The next prime is 232121101. The reversal of 232121100 is 1121232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (232121101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099995 + ... + 1100205.

Almost surely, 2^232121100 is an apocalyptic number.

232121100 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 232121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356991040).

232121100 is an abundant number, since it is smaller than the sum of its proper divisors (481860980).

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

232121100 is a wasteful number, since it uses less digits than its factorization.

232121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 232121100 is about 15235.5209953582. The cubic root of 232121100 is about 614.5702596344.

Adding to 232121100 its reverse (1121232), we get a palindrome (233242332).

It can be divided in two parts, 232121 and 100, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 232121100 in words is "two hundred thirty-two million, one hundred twenty-one thousand, one hundred".