103302010020000 has 2880 divisors, whose sum is σ = 405279804948480. Its totient is φ = 22953216000000.

The previous prime is 103302010019993. The next prime is 103302010020059. The reversal of 103302010020000 is 20010203301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 540848219905 + ... + 540848220095.

It is an arithmetic number, because the mean of its divisors is an integer number (140722154496).

Almost surely, 2^{103302010020000} is an apocalyptic number.

103302010020000 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 103302010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202639902474240).

103302010020000 is an abundant number, since it is smaller than the sum of its proper divisors (301977794928480).

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

103302010020000 is a wasteful number, since it uses less digits than its factorization.

103302010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103302010020000 its reverse (20010203301), we get a palindrome (103322020223301).

The spelling of 103302010020000 in words is "one hundred three trillion, three hundred two billion, ten million, twenty thousand".