100244143301100 has 576 divisors, whose sum is σ = 306686528139264. Its totient is φ = 25253621268480.

The previous prime is 100244143301089. The next prime is 100244143301111. The reversal of 100244143301100 is 1103341442001.

It is an interprime number because it is at equal distance from previous prime (100244143301089) and next prime (100244143301111).

It is a super-2 number, since 2×100244143301100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18539694597 + ... + 18539700003.

Almost surely, 2^{100244143301100} is an apocalyptic number.

100244143301100 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 100244143301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153343264069632).

100244143301100 is an abundant number, since it is smaller than the sum of its proper divisors (206442384838164).

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

100244143301100 is a wasteful number, since it uses less digits than its factorization.

100244143301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100244143301100 its reverse (1103341442001), we get a palindrome (101347484743101).

The spelling of 100244143301100 in words is "one hundred trillion, two hundred forty-four billion, one hundred forty-three million, three hundred one thousand, one hundred".