101112320 has 80 divisors (see below), whose sum is σ = 245127168. Its totient is φ = 39997440.

The previous prime is 101112317. The next prime is 101112329. The reversal of 101112320 is 23211101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101112329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324965 + ... + 325275.

Almost surely, 2^101112320 is an apocalyptic number.

101112320 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 101112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122563584).

101112320 is an abundant number, since it is smaller than the sum of its proper divisors (144014848).

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

101112320 is an equidigital number, since it uses as much as digits as its factorization.

101112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101112320 is about 10055.4621972339. The cubic root of 101112320 is about 465.8735189412.

Adding to 101112320 its reverse (23211101), we get a palindrome (124323421).

It can be divided in two parts, 1011 and 12320, that added together give a palindrome (13331).

The spelling of 101112320 in words is "one hundred one million, one hundred twelve thousand, three hundred twenty".