100300000200240 has 960 divisors, whose sum is σ = 343074273984000. Its totient is φ = 24170996957184.

The previous prime is 100300000200227. The next prime is 100300000200241. The reversal of 100300000200240 is 42002000003001.

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

It is not an unprimeable number, because it can be changed into a prime (100300000200241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146852122939 + ... + 146852123621.

It is an arithmetic number, because the mean of its divisors is an integer number (357369035400).

Almost surely, 2^{100300000200240} is an apocalyptic number.

100300000200240 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 100300000200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171537136992000).

100300000200240 is an abundant number, since it is smaller than the sum of its proper divisors (242774273783760).

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

100300000200240 is a wasteful number, since it uses less digits than its factorization.

100300000200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100300000200240 its reverse (42002000003001), we get a palindrome (142302000203241).

The spelling of 100300000200240 in words is "one hundred trillion, three hundred billion, two hundred thousand, two hundred forty".