101113302224 has 80 divisors (see below), whose sum is σ = 219677058816. Its totient is φ = 44680896000.

The previous prime is 101113302211. The next prime is 101113302271. The reversal of 101113302224 is 422203311101.

It is a junction number, because it is equal to n+sod(n) for n = 101113302196 and 101113302205.

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 15 ways as a sum of consecutive naturals, for example, 8635574 + ... + 8647274.

Almost surely, 2^101113302224 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 101113302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109838529408).

101113302224 is an abundant number, since it is smaller than the sum of its proper divisors (118563756592).

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

101113302224 is a wasteful number, since it uses less digits than its factorization.

101113302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084 (or 13078 counting only the distinct ones).

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

Adding to 101113302224 its reverse (422203311101), we get a palindrome (523316613325).

The spelling of 101113302224 in words is "one hundred one billion, one hundred thirteen million, three hundred two thousand, two hundred twenty-four".