101120320 has 84 divisors (see below), whose sum is σ = 280149300. Its totient is φ = 34664448.

The previous prime is 101120317. The next prime is 101120329. The reversal of 101120320 is 23021101.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 27709696 = 8568^2 + 5264^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101120297 and 101120306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12456 + ... + 18904.

Almost surely, 2^101120320 is an apocalyptic number.

101120320 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 101120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140074650).

101120320 is an abundant number, since it is smaller than the sum of its proper divisors (179028980).

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

101120320 is an equidigital number, since it uses as much as digits as its factorization.

101120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101120320 is about 10055.8599831143. The cubic root of 101120320 is about 465.8858052444.

Adding to 101120320 its reverse (23021101), we get a palindrome (124141421).

The spelling of 101120320 in words is "one hundred one million, one hundred twenty thousand, three hundred twenty".