201234363432102 has 2304 divisors, whose sum is σ = 660898625587200. Its totient is φ = 42863800320000.

The previous prime is 201234363432059. The next prime is 201234363432103.

201234363432102 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 3 + 4 + 3 + 634 + 3 + 2 + 10 + 2 = 666.

201234363432102 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×201234363432102³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201234363432103) 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, 801730531477 + ... + 801730531727.

It is an arithmetic number, because the mean of its divisors is an integer number (286848361800).

Almost surely, 2^{201234363432102} is an apocalyptic number.

201234363432102 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 201234363432102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330449312793600).

201234363432102 is an abundant number, since it is smaller than the sum of its proper divisors (459664262155098).

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

201234363432102 is a wasteful number, since it uses less digits than its factorization.

201234363432102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

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

The spelling of 201234363432102 in words is "two hundred one trillion, two hundred thirty-four billion, three hundred sixty-three million, four hundred thirty-two thousand, one hundred two".