102003322101312 has 224 divisors, whose sum is σ = 282099785425920. Its totient is φ = 32488255744000.

The previous prime is 102003322101271. The next prime is 102003322101313. The reversal of 102003322101312 is 213101223300201.

It is not an unprimeable number, because it can be changed into a prime (102003322101313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210835687 + ... + 211318937.

It is an arithmetic number, because the mean of its divisors is an integer number (1259374042080).

Almost surely, 2^{102003322101312} is an apocalyptic number.

102003322101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003322101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141049892712960).

102003322101312 is an abundant number, since it is smaller than the sum of its proper divisors (180096463324608).

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

102003322101312 is a wasteful number, since it uses less digits than its factorization.

102003322101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483689 (or 483679 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102003322101312 its reverse (213101223300201), we get a palindrome (315104545401513).

The spelling of 102003322101312 in words is "one hundred two trillion, three billion, three hundred twenty-two million, one hundred one thousand, three hundred twelve".