100044144114200 has 192 divisors, whose sum is σ = 274140514821600. Its totient is φ = 33473959833600.

The previous prime is 100044144114181. The next prime is 100044144114259. The reversal of 100044144114200 is 2411441440001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 100044144114200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3363866 + ... + 14539734.

Almost surely, 2^{100044144114200} is an apocalyptic number.

100044144114200 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 100044144114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137070257410800).

100044144114200 is an abundant number, since it is smaller than the sum of its proper divisors (174096370707400).

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

100044144114200 is a wasteful number, since it uses less digits than its factorization.

100044144114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176222 (or 11176213 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 100044144114200 its reverse (2411441440001), we get a palindrome (102455585554201).

The spelling of 100044144114200 in words is "one hundred trillion, forty-four billion, one hundred forty-four million, one hundred fourteen thousand, two hundred".