102000333303312 has 320 divisors, whose sum is σ = 286013348974080. Its totient is φ = 31227055276032.

The previous prime is 102000333303287. The next prime is 102000333303389. The reversal of 102000333303312 is 213303333000201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4283376718 + ... + 4283400530.

It is an arithmetic number, because the mean of its divisors is an integer number (893791715544).

Almost surely, 2^{102000333303312} is an apocalyptic number.

102000333303312 is a gapful number since it is divisible by the number (12) 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 102000333303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143006674487040).

102000333303312 is an abundant number, since it is smaller than the sum of its proper divisors (184013015670768).

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

102000333303312 is a wasteful number, since it uses less digits than its factorization.

102000333303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 102000333303312 its reverse (213303333000201), we get a palindrome (315303666303513).

The spelling of 102000333303312 in words is "one hundred two trillion, three hundred thirty-three million, three hundred three thousand, three hundred twelve".