102414224000 has 256 divisors, whose sum is σ = 285300887040. Its totient is φ = 36232704000.

The previous prime is 102414223999. The next prime is 102414224039. The reversal of 102414224000 is 422414201.

102414224000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6504137 + ... + 6519863.

It is an arithmetic number, because the mean of its divisors is an integer number (1114456590).

Almost surely, 2^102414224000 is an apocalyptic number.

102414224000 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 102414224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142650443520).

102414224000 is an abundant number, since it is smaller than the sum of its proper divisors (182886663040).

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

102414224000 is a wasteful number, since it uses less digits than its factorization.

102414224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15804 (or 15782 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102414224000 its reverse (422414201), we get a palindrome (102836638201).

The spelling of 102414224000 in words is "one hundred two billion, four hundred fourteen million, two hundred twenty-four thousand".