100330323321000 has 256 divisors, whose sum is σ = 314653248000000. Its totient is φ = 26616108499200.

The previous prime is 100330323320959. The next prime is 100330323321089. The reversal of 100330323321000 is 123323033001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6267894997 + ... + 6267911003.

It is an arithmetic number, because the mean of its divisors is an integer number (1229114250000).

Almost surely, 2^{100330323321000} is an apocalyptic number.

100330323321000 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 100330323321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157326624000000).

100330323321000 is an abundant number, since it is smaller than the sum of its proper divisors (214322924679000).

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

100330323321000 is a wasteful number, since it uses less digits than its factorization.

100330323321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26729 (or 26715 counting only the distinct ones).

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

Adding to 100330323321000 its reverse (123323033001), we get a palindrome (100453646354001).

The spelling of 100330323321000 in words is "one hundred trillion, three hundred thirty billion, three hundred twenty-three million, three hundred twenty-one thousand".