102401242320 has 320 divisors, whose sum is σ = 351828981504. Its totient is φ = 24478433280.

The previous prime is 102401242319. The next prime is 102401242331. The reversal of 102401242320 is 23242104201.

It is a congruent number.

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, 24280852 + ... + 24285068.

Almost surely, 2^102401242320 is an apocalyptic number.

102401242320 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 102401242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175914490752).

102401242320 is an abundant number, since it is smaller than the sum of its proper divisors (249427739184).

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

102401242320 is a wasteful number, since it uses less digits than its factorization.

102401242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102401242320 its reverse (23242104201), we get a palindrome (125643346521).

The spelling of 102401242320 in words is "one hundred two billion, four hundred one million, two hundred forty-two thousand, three hundred twenty".