201432363234102 has 2304 divisors, whose sum is σ = 648500815872000. Its totient is φ = 45049381977600.

The previous prime is 201432363234097. The next prime is 201432363234103.

201432363234102 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 3 + 2 + 3 + 632 + 3 + 4 + 10 + 2 = 666.

201432363234102 is nontrivially palindromic in base 10.

201432363234102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201432363234103) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1882545450733 + ... + 1882545450839.

It is an arithmetic number, because the mean of its divisors is an integer number (281467368000).

Almost surely, 2^{201432363234102} is an apocalyptic number.

201432363234102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201432363234102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324250407936000).

201432363234102 is an abundant number, since it is smaller than the sum of its proper divisors (447068452637898).

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

201432363234102 is a wasteful number, since it uses less digits than its factorization.

201432363234102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 201432363234102 in words is "two hundred one trillion, four hundred thirty-two billion, three hundred sixty-three million, two hundred thirty-four thousand, one hundred two".