101303112224 has 96 divisors (see below), whose sum is σ = 208043866800. Its totient is φ = 48514498560.

The previous prime is 101303112181. The next prime is 101303112241. The reversal of 101303112224 is 422211303101.

It can be written as a sum of positive squares in 8 ways, for example, as 68445024400 + 32858087824 = 261620^2 + 181268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101303112196 and 101303112205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25393622 + ... + 25397610.

Almost surely, 2^101303112224 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 101303112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104021933400).

101303112224 is an abundant number, since it is smaller than the sum of its proper divisors (106740754576).

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

101303112224 is a wasteful number, since it uses less digits than its factorization.

101303112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101303112224 its reverse (422211303101), we get a palindrome (523514415325).

The spelling of 101303112224 in words is "one hundred one billion, three hundred three million, one hundred twelve thousand, two hundred twenty-four".