101001032320 has 64 divisors (see below), whose sum is σ = 244512115200. Its totient is φ = 39888995328.

The previous prime is 101001032317. The next prime is 101001032413. The reversal of 101001032320 is 23230100101.

101001032320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 101001032320.

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 7 ways as a sum of consecutive naturals, for example, 948264 + ... + 1049383.

It is an arithmetic number, because the mean of its divisors is an integer number (3820501800).

Almost surely, 2^101001032320 is an apocalyptic number.

101001032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001032320 is an abundant number, since it is smaller than the sum of its proper divisors (143511082880).

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

101001032320 is an equidigital number, since it uses as much as digits as its factorization.

101001032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997745 (or 1997733 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101001032320 its reverse (23230100101), we get a palindrome (124231132421).

The spelling of 101001032320 in words is "one hundred one billion, one million, thirty-two thousand, three hundred twenty".