102003312424000 has 336 divisors, whose sum is σ = 274045154896656. Its totient is φ = 37592875008000.

The previous prime is 102003312423979. The next prime is 102003312424021. The reversal of 102003312424000 is 424213300201.

It is an interprime number because it is at equal distance from previous prime (102003312423979) and next prime (102003312424021).

It can be written as a sum of positive squares in 24 ways, for example, as 84139232489536 + 17864079934464 = 9172744^2 + 4226592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731362272 + ... + 731501728.

Almost surely, 2^{102003312424000} is an apocalyptic number.

102003312424000 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 102003312424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137022577448328).

102003312424000 is an abundant number, since it is smaller than the sum of its proper divisors (172041842472656).

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

102003312424000 is a wasteful number, since it uses less digits than its factorization.

102003312424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140051 (or 140018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102003312424000 its reverse (424213300201), we get a palindrome (102427525724201).

The spelling of 102003312424000 in words is "one hundred two trillion, three billion, three hundred twelve million, four hundred twenty-four thousand".