101441344103200 has 36 divisors (see below), whose sum is σ = 247643681293890. Its totient is φ = 40576537640960.

The previous prime is 101441344103161. The next prime is 101441344103233. The reversal of 101441344103200 is 2301443144101.

It can be written as a sum of positive squares in 3 ways, for example, as 37710947573776 + 63730396529424 = 6140924^2 + 7983132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63400839265 + ... + 63400840864.

Almost surely, 2^{101441344103200} is an apocalyptic number.

101441344103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101441344103200 is an abundant number, since it is smaller than the sum of its proper divisors (146202337190690).

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

101441344103200 is a wasteful number, since it uses less digits than its factorization.

101441344103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126801680149 (or 126801680136 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101441344103200 its reverse (2301443144101), we get a palindrome (103742787247301).

The spelling of 101441344103200 in words is "one hundred one trillion, four hundred forty-one billion, three hundred forty-four million, one hundred three thousand, two hundred".