10201332031200 has 432 divisors, whose sum is σ = 36731649086496. Its totient is φ = 2663486668800.

The previous prime is 10201332031199. The next prime is 10201332031237. The reversal of 10201332031200 is 213023310201.

10201332031200 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 332 + 0 + 312 + 0 + 0 = 666.

10201332031200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71936365 + ... + 72078035.

It is an arithmetic number, because the mean of its divisors is an integer number (85026965478).

Almost surely, 2^{10201332031200} is an apocalyptic number.

10201332031200 is a gapful number since it is divisible by the number (10) 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 10201332031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18365824543248).

10201332031200 is an abundant number, since it is smaller than the sum of its proper divisors (26530317055296).

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

10201332031200 is a wasteful number, since it uses less digits than its factorization.

10201332031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141907 (or 141891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10201332031200 its reverse (213023310201), we get a palindrome (10414355341401).

The spelling of 10201332031200 in words is "ten trillion, two hundred one billion, three hundred thirty-two million, thirty-one thousand, two hundred".