101441541344 has 48 divisors (see below), whose sum is σ = 234627911280. Its totient is φ = 42562882560.

The previous prime is 101441541287. The next prime is 101441541361. The reversal of 101441541344 is 443145144101.

101441541344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101441541344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101441541344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11079509 + ... + 11088660.

It is an arithmetic number, because the mean of its divisors is an integer number (4888081485).

Almost surely, 2^101441541344 is an apocalyptic number.

It is an amenable number.

101441541344 is an abundant number, since it is smaller than the sum of its proper divisors (133186369936).

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

101441541344 is a wasteful number, since it uses less digits than its factorization.

101441541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22168203 (or 22168195 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 101441541344 its reverse (443145144101), we get a palindrome (544586685445).

The spelling of 101441541344 in words is "one hundred one billion, four hundred forty-one million, five hundred forty-one thousand, three hundred forty-four".