101300444400 has 120 divisors (see below), whose sum is σ = 324673081200. Its totient is φ = 26998968320.

The previous prime is 101300444393. The next prime is 101300444431. The reversal of 101300444400 is 4444003101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2317144 + ... + 2360456.

It is an arithmetic number, because the mean of its divisors is an integer number (2705609010).

Almost surely, 2^101300444400 is an apocalyptic number.

101300444400 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 101300444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162336540600).

101300444400 is an abundant number, since it is smaller than the sum of its proper divisors (223372636800).

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

101300444400 is a wasteful number, since it uses less digits than its factorization.

101300444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45283 (or 45272 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 101300444400 its reverse (4444003101), we get a palindrome (105744447501).

The spelling of 101300444400 in words is "one hundred one billion, three hundred million, four hundred forty-four thousand, four hundred".