102321030000000 has 1024 divisors, whose sum is σ = 389894001868800. Its totient is φ = 23289984000000.

The previous prime is 102321029999971. The next prime is 102321030000001. The reversal of 102321030000000 is 30123201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321030000001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 58169999121 + ... + 58170000879.

It is an arithmetic number, because the mean of its divisors is an integer number (380755861200).

Almost surely, 2^{102321030000000} is an apocalyptic number.

102321030000000 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 102321030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194947000934400).

102321030000000 is an abundant number, since it is smaller than the sum of its proper divisors (287572971868800).

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

102321030000000 is an frugal number, since it uses more digits than its factorization.

102321030000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102321030000000 its reverse (30123201), we get a palindrome (102321060123201).

The spelling of 102321030000000 in words is "one hundred two trillion, three hundred twenty-one billion, thirty million", and thus it is an aban number.