102202313302320 has 640 divisors, whose sum is σ = 408731005255680. Its totient is φ = 20499279360000.

The previous prime is 102202313302303. The next prime is 102202313302321. The reversal of 102202313302320 is 23203313202201.

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

It is not an unprimeable number, because it can be changed into a prime (102202313302321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2288891995 + ... + 2288936645.

It is an arithmetic number, because the mean of its divisors is an integer number (638642195712).

Almost surely, 2^{102202313302320} is an apocalyptic number.

102202313302320 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 102202313302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204365502627840).

102202313302320 is an abundant number, since it is smaller than the sum of its proper divisors (306528691953360).

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

102202313302320 is a wasteful number, since it uses less digits than its factorization.

102202313302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48985 (or 48979 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102202313302320 its reverse (23203313202201), we get a palindrome (125405626504521).

The spelling of 102202313302320 in words is "one hundred two trillion, two hundred two billion, three hundred thirteen million, three hundred two thousand, three hundred twenty".