102331013200 has 240 divisors, whose sum is σ = 284639281920. Its totient is φ = 35031951360.

The previous prime is 102331013123. The next prime is 102331013209. The reversal of 102331013200 is 2310133201.

102331013200 is digitally balanced in base 3, 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102331013209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4632582 + ... + 4654618.

It is an arithmetic number, because the mean of its divisors is an integer number (1185997008).

Almost surely, 2^102331013200 is an apocalyptic number.

102331013200 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 102331013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142319640960).

102331013200 is an abundant number, since it is smaller than the sum of its proper divisors (182308268720).

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

102331013200 is a wasteful number, since it uses less digits than its factorization.

102331013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22134 (or 22123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102331013200 its reverse (2310133201), we get a palindrome (104641146401).

The spelling of 102331013200 in words is "one hundred two billion, three hundred thirty-one million, thirteen thousand, two hundred".