100302141440000 has 300 divisors, whose sum is σ = 253842515018400. Its totient is φ = 39612678144000.

The previous prime is 100302141439999. The next prime is 100302141440021. The reversal of 100302141440000 is 44141203001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 808898006 + ... + 809021994.

It is an arithmetic number, because the mean of its divisors is an integer number (846141716728).

Almost surely, 2^{100302141440000} is an apocalyptic number.

100302141440000 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 100302141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126921257509200).

100302141440000 is an abundant number, since it is smaller than the sum of its proper divisors (153540373578400).

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

100302141440000 is an frugal number, since it uses more digits than its factorization.

100302141440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124116 (or 124075 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100302141440000 its reverse (44141203001), we get a palindrome (100346282643001).

The spelling of 100302141440000 in words is "one hundred trillion, three hundred two billion, one hundred forty-one million, four hundred forty thousand".