101344444320 has 384 divisors, whose sum is σ = 369440870400. Its totient is φ = 22874406912.

The previous prime is 101344444297. The next prime is 101344444321. The reversal of 101344444320 is 23444443101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (101344444321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100439976 + ... + 100440984.

It is an arithmetic number, because the mean of its divisors is an integer number (962085600).

Almost surely, 2^101344444320 is an apocalyptic number.

101344444320 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 101344444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184720435200).

101344444320 is an abundant number, since it is smaller than the sum of its proper divisors (268096426080).

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

101344444320 is a wasteful number, since it uses less digits than its factorization.

101344444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 101344444320 its reverse (23444443101), we get a palindrome (124788887421).

The spelling of 101344444320 in words is "one hundred one billion, three hundred forty-four million, four hundred forty-four thousand, three hundred twenty".