101320021312 has 56 divisors (see below), whose sum is σ = 206172648360. Its totient is φ = 49373552640.

The previous prime is 101320021289. The next prime is 101320021333. The reversal of 101320021312 is 213120023101.

It can be written as a sum of positive squares in 4 ways, for example, as 28047616 + 101291973696 = 5296^2 + 318264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2596764 + ... + 2635492.

It is an arithmetic number, because the mean of its divisors is an integer number (3681654435).

Almost surely, 2^101320021312 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 101320021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103086324180).

101320021312 is an abundant number, since it is smaller than the sum of its proper divisors (104852627048).

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

101320021312 is an equidigital number, since it uses as much as digits as its factorization.

101320021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39779 (or 39769 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101320021312 its reverse (213120023101), we get a palindrome (314440044413).

The spelling of 101320021312 in words is "one hundred one billion, three hundred twenty million, twenty-one thousand, three hundred twelve".