2101444441300 has 72 divisors (see below), whose sum is σ = 4844106457344. Its totient is φ = 788554851840.

The previous prime is 2101444441297. The next prime is 2101444441303. The reversal of 2101444441300 is 31444441012.

It is an interprime number because it is at equal distance from previous prime (2101444441297) and next prime (2101444441303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101444441303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491364 + ... + 2535163.

It is an arithmetic number, because the mean of its divisors is an integer number (67279256352).

Almost surely, 2^{2101444441300} is an apocalyptic number.

2101444441300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101444441300 is an abundant number, since it is smaller than the sum of its proper divisors (2742662016044).

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

2101444441300 is a wasteful number, since it uses less digits than its factorization.

2101444441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026865 (or 4026858 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2101444441300 its reverse (31444441012), we get a palindrome (2132888882312).

The spelling of 2101444441300 in words is "two trillion, one hundred one billion, four hundred forty-four million, four hundred forty-one thousand, three hundred".