102442141312 has 128 divisors (see below), whose sum is σ = 256190054400. Its totient is φ = 39784504320.

The previous prime is 102442141301. The next prime is 102442141313. The reversal of 102442141312 is 213141244201.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (102442141313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260737 + ... + 522367.

It is an arithmetic number, because the mean of its divisors is an integer number (2001484800).

Almost surely, 2^102442141312 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 102442141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128095027200).

102442141312 is an abundant number, since it is smaller than the sum of its proper divisors (153747913088).

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

102442141312 is a wasteful number, since it uses less digits than its factorization.

102442141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261694 (or 261682 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102442141312 its reverse (213141244201), we get a palindrome (315583385513).

The spelling of 102442141312 in words is "one hundred two billion, four hundred forty-two million, one hundred forty-one thousand, three hundred twelve".