232100202000 has 320 divisors, whose sum is σ = 755674133760. Its totient is φ = 61286400000.

The previous prime is 232100201999. The next prime is 232100202007. The reversal of 232100202000 is 202001232.

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 (232100202007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344873664 + ... + 344874336.

It is an arithmetic number, because the mean of its divisors is an integer number (2361481668).

Almost surely, 2^232100202000 is an apocalyptic number.

232100202000 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 232100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377837066880).

232100202000 is an abundant number, since it is smaller than the sum of its proper divisors (523573931760).

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

232100202000 is a wasteful number, since it uses less digits than its factorization.

232100202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 232100202000 its reverse (202001232), we get a palindrome (232302203232).

The spelling of 232100202000 in words is "two hundred thirty-two billion, one hundred million, two hundred two thousand".