103322333010000 has 400 divisors, whose sum is σ = 363231078598080. Its totient is φ = 25147415040000.

The previous prime is 103322333009993. The next prime is 103322333010007. The reversal of 103322333010000 is 10333223301.

It is an interprime number because it is at equal distance from previous prime (103322333009993) and next prime (103322333010007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322333010007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33221635 + ... + 36198365.

Almost surely, 2^{103322333010000} is an apocalyptic number.

103322333010000 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 103322333010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181615539299040).

103322333010000 is an abundant number, since it is smaller than the sum of its proper divisors (259908745588080).

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

103322333010000 is a wasteful number, since it uses less digits than its factorization.

103322333010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976864 (or 2976843 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 103322333010000 its reverse (10333223301), we get a palindrome (103332666233301).

The spelling of 103322333010000 in words is "one hundred three trillion, three hundred twenty-two billion, three hundred thirty-three million, ten thousand".