100330245444000 has 1536 divisors, whose sum is σ = 400731658629120. Its totient is φ = 21608294400000.

The previous prime is 100330245443951. The next prime is 100330245444089. The reversal of 100330245444000 is 444542033001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16471880955 + ... + 16471887045.

It is an arithmetic number, because the mean of its divisors is an integer number (260893006920).

Almost surely, 2^{100330245444000} is an apocalyptic number.

100330245444000 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 100330245444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200365829314560).

100330245444000 is an abundant number, since it is smaller than the sum of its proper divisors (300401413185120).

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

100330245444000 is a wasteful number, since it uses less digits than its factorization.

100330245444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 100330245444000 its reverse (444542033001), we get a palindrome (100774787477001).

The spelling of 100330245444000 in words is "one hundred trillion, three hundred thirty billion, two hundred forty-five million, four hundred forty-four thousand".