101441312 has 72 divisors (see below), whose sum is σ = 242613504. Its totient is φ = 40891392.

The previous prime is 101441303. The next prime is 101441357. The reversal of 101441312 is 213144101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63953 + ... + 65519.

It is an arithmetic number, because the mean of its divisors is an integer number (3369632).

Almost surely, 2^101441312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121306752).

101441312 is an abundant number, since it is smaller than the sum of its proper divisors (141172192).

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

101441312 is a wasteful number, since it uses less digits than its factorization.

101441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101441312 is about 10071.8077821213. The cubic root of 101441312 is about 466.3782471783.

Adding to 101441312 its reverse (213144101), we get a palindrome (314585413).

The spelling of 101441312 in words is "one hundred one million, four hundred forty-one thousand, three hundred twelve".