101303412240224 has 192 divisors, whose sum is σ = 208440322272000. Its totient is φ = 48425178267648.

The previous prime is 101303412240161. The next prime is 101303412240253. The reversal of 101303412240224 is 422042214303101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22269378302 + ... + 22269382850.

It is an arithmetic number, because the mean of its divisors is an integer number (1085626678500).

Almost surely, 2^{101303412240224} 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 101303412240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104220161136000).

101303412240224 is an abundant number, since it is smaller than the sum of its proper divisors (107136910031776).

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

101303412240224 is a wasteful number, since it uses less digits than its factorization.

101303412240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 101303412240224 its reverse (422042214303101), we get a palindrome (523345626543325).

The spelling of 101303412240224 in words is "one hundred one trillion, three hundred three billion, four hundred twelve million, two hundred forty thousand, two hundred twenty-four".