102000031333200 has 2880 divisors, whose sum is σ = 496144397059584. Its totient is φ = 18722119680000.

The previous prime is 102000031333177. The next prime is 102000031333217. The reversal of 102000031333200 is 2333130000201.

102000031333200 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 0 + 0 + 313 + 332 + 0 + 0 = 666.

102000031333200 is digitally balanced in base 4, 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 575 ways as a sum of consecutive naturals, for example, 8133318930 + ... + 8133331470.

Almost surely, 2^{102000031333200} is an apocalyptic number.

102000031333200 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 102000031333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248072198529792).

102000031333200 is an abundant number, since it is smaller than the sum of its proper divisors (394144365726384).

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

102000031333200 is a wasteful number, since it uses less digits than its factorization.

102000031333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12694 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102000031333200 its reverse (2333130000201), we get a palindrome (104333161333401).

The spelling of 102000031333200 in words is "one hundred two trillion, thirty-one million, three hundred thirty-three thousand, two hundred".