102002321230000 has 200 divisors, whose sum is σ = 248407997745600. Its totient is φ = 40561469472000.

The previous prime is 102002321229983. The next prime is 102002321230003. The reversal of 102002321230000 is 32123200201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102002321230003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9270404499 + ... + 9270415501.

It is an arithmetic number, because the mean of its divisors is an integer number (1242039988728).

Almost surely, 2^{102002321230000} is an apocalyptic number.

102002321230000 is a gapful number since it is divisible by the number (10) 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 102002321230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124203998872800).

102002321230000 is an abundant number, since it is smaller than the sum of its proper divisors (146405676515600).

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

102002321230000 is a wasteful number, since it uses less digits than its factorization.

102002321230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16389 (or 16368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102002321230000 its reverse (32123200201), we get a palindrome (102034444430201).

It can be divided in two parts, 102002321 and 230000, that added together give a square (102232321 = 10111²).

The spelling of 102002321230000 in words is "one hundred two trillion, two billion, three hundred twenty-one million, two hundred thirty thousand".