101124434224 has 80 divisors (see below), whose sum is σ = 221626127520. Its totient is φ = 44277166080.

The previous prime is 101124434219. The next prime is 101124434233. The reversal of 101124434224 is 422434421101.

It is a junction number, because it is equal to n+sod(n) for n = 101124434192 and 101124434201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2187154 + ... + 2232910.

It is an arithmetic number, because the mean of its divisors is an integer number (2770326594).

Almost surely, 2^101124434224 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 101124434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110813063760).

101124434224 is an abundant number, since it is smaller than the sum of its proper divisors (120501693296).

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

101124434224 is a wasteful number, since it uses less digits than its factorization.

101124434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46238 (or 46232 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 101124434224 its reverse (422434421101), we get a palindrome (523558855325).

The spelling of 101124434224 in words is "one hundred one billion, one hundred twenty-four million, four hundred thirty-four thousand, two hundred twenty-four".