101116124255224 has 128 divisors (see below), whose sum is σ = 213936375744000. Its totient is φ = 44455164931584.

The previous prime is 101116124255221. The next prime is 101116124255231. The reversal of 101116124255224 is 422552421611101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101116124255221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582206679 + ... + 1582270585.

It is an arithmetic number, because the mean of its divisors is an integer number (1671377935500).

Almost surely, 2^{101116124255224} 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 101116124255224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106968187872000).

101116124255224 is an abundant number, since it is smaller than the sum of its proper divisors (112820251488776).

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

101116124255224 is a wasteful number, since it uses less digits than its factorization.

101116124255224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66677 (or 66673 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 101116124255224 its reverse (422552421611101), we get a palindrome (523668545866325).

The spelling of 101116124255224 in words is "one hundred one trillion, one hundred sixteen billion, one hundred twenty-four million, two hundred fifty-five thousand, two hundred twenty-four".