102302144442330 has 288 divisors, whose sum is σ = 303441059520000. Its totient is φ = 22004863469568.

The previous prime is 102302144442241. The next prime is 102302144442353. The reversal of 102302144442330 is 33244441203201.

102302144442330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102302144442291 and 102302144442300.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4736418871 + ... + 4736440469.

It is an arithmetic number, because the mean of its divisors is an integer number (1053614790000).

Almost surely, 2^{102302144442330} is an apocalyptic number.

102302144442330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102302144442330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151720529760000).

102302144442330 is an abundant number, since it is smaller than the sum of its proper divisors (201138915077670).

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

102302144442330 is a wasteful number, since it uses less digits than its factorization.

102302144442330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32806 (or 32782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 102302144442330 its reverse (33244441203201), we get a palindrome (135546585645531).

The spelling of 102302144442330 in words is "one hundred two trillion, three hundred two billion, one hundred forty-four million, four hundred forty-two thousand, three hundred thirty".