102200333312 has 132 divisors (see below), whose sum is σ = 259262604864. Its totient is φ = 39818096640.

The previous prime is 102200333299. The next prime is 102200333329. The reversal of 102200333312 is 213333002201.

102200333312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459353 + ... + 644519.

Almost surely, 2^102200333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129631302432).

102200333312 is an abundant number, since it is smaller than the sum of its proper divisors (157062271552).

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

102200333312 is a wasteful number, since it uses less digits than its factorization.

102200333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185212 (or 185187 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102200333312 its reverse (213333002201), we get a palindrome (315533335513).

The spelling of 102200333312 in words is "one hundred two billion, two hundred million, three hundred thirty-three thousand, three hundred twelve".