102003120320 has 168 divisors, whose sum is σ = 259022965824. Its totient is φ = 38251118592.

The previous prime is 102003120281. The next prime is 102003120341. The reversal of 102003120320 is 23021300201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102003120295 and 102003120304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11200889 + ... + 11209991.

It is an arithmetic number, because the mean of its divisors is an integer number (1541803368).

Almost surely, 2^102003120320 is an apocalyptic number.

102003120320 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 102003120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129511482912).

102003120320 is an abundant number, since it is smaller than the sum of its proper divisors (157019845504).

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

102003120320 is an equidigital number, since it uses as much as digits as its factorization.

102003120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9255 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102003120320 its reverse (23021300201), we get a palindrome (125024420521).

The spelling of 102003120320 in words is "one hundred two billion, three million, one hundred twenty thousand, three hundred twenty".