102231200424144 has 320 divisors, whose sum is σ = 298200913920000. Its totient is φ = 29909797171200.

The previous prime is 102231200424113. The next prime is 102231200424151. The reversal of 102231200424144 is 441424002132201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3453858657 + ... + 3453888255.

It is an arithmetic number, because the mean of its divisors is an integer number (931877856000).

Almost surely, 2^{102231200424144} 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 102231200424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149100456960000).

102231200424144 is an abundant number, since it is smaller than the sum of its proper divisors (195969713495856).

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

102231200424144 is a wasteful number, since it uses less digits than its factorization.

102231200424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31314 (or 31308 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 102231200424144 its reverse (441424002132201), we get a palindrome (543655202556345).

The spelling of 102231200424144 in words is "one hundred two trillion, two hundred thirty-one billion, two hundred million, four hundred twenty-four thousand, one hundred forty-four".