102140320000 has 180 divisors, whose sum is σ = 263567678220. Its totient is φ = 39445504000.

The previous prime is 102140319977. The next prime is 102140320001. The reversal of 102140320000 is 23041201.

It can be written as a sum of positive squares in 10 ways, for example, as 68384342016 + 33755977984 = 261504^2 + 183728^2 .

It is not an unprimeable number, because it can be changed into a prime (102140320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4628994 + ... + 4651006.

It is an arithmetic number, because the mean of its divisors is an integer number (1464264879).

Almost surely, 2^102140320000 is an apocalyptic number.

102140320000 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 102140320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131783839110).

102140320000 is an abundant number, since it is smaller than the sum of its proper divisors (161427358220).

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

102140320000 is an frugal number, since it uses more digits than its factorization.

102140320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22078 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102140320000 its reverse (23041201), we get a palindrome (102163361201).

The spelling of 102140320000 in words is "one hundred two billion, one hundred forty million, three hundred twenty thousand".