101441101300 has 144 divisors (see below), whose sum is σ = 279097136640. Its totient is φ = 31081968000.

The previous prime is 101441101291. The next prime is 101441101303. The reversal of 101441101300 is 3101144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441101303) 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 47 ways as a sum of consecutive naturals, for example, 342655 + ... + 565945.

It is an arithmetic number, because the mean of its divisors is an integer number (1938174560).

Almost surely, 2^101441101300 is an apocalyptic number.

101441101300 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 101441101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139548568320).

101441101300 is an abundant number, since it is smaller than the sum of its proper divisors (177656035340).

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

101441101300 is a wasteful number, since it uses less digits than its factorization.

101441101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223382 (or 223375 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101441101300 its reverse (3101144101), we get a palindrome (104542245401).

The spelling of 101441101300 in words is "one hundred one billion, four hundred forty-one million, one hundred one thousand, three hundred".