101441003560 has 128 divisors (see below), whose sum is σ = 255042496800. Its totient is φ = 36054466560.

The previous prime is 101441003551. The next prime is 101441003561. The reversal of 101441003560 is 65300144101.

It can be written as a sum of positive squares in 16 ways, for example, as 7573524676 + 93867478884 = 87026^2 + 306378^2 .

It is not an unprimeable number, because it can be changed into a prime (101441003561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5071980 + ... + 5091940.

Almost surely, 2^101441003560 is an apocalyptic number.

101441003560 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 101441003560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127521248400).

101441003560 is an abundant number, since it is smaller than the sum of its proper divisors (153601493240).

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

101441003560 is a wasteful number, since it uses less digits than its factorization.

101441003560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20351 (or 20347 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 101441003560 its reverse (65300144101), we get a palindrome (166741147661).

The spelling of 101441003560 in words is "one hundred one billion, four hundred forty-one million, three thousand, five hundred sixty".