102341024000 has 144 divisors (see below), whose sum is σ = 258177803520. Its totient is φ = 40417228800.

The previous prime is 102341023933. The next prime is 102341024003. The reversal of 102341024000 is 420143201.

It is a self number, because there is not a number n which added to its sum of digits gives 102341024000.

It is not an unprimeable number, because it can be changed into a prime (102341024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2507759 + ... + 2548241.

Almost surely, 2^102341024000 is an apocalyptic number.

102341024000 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 102341024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129088901760).

102341024000 is an abundant number, since it is smaller than the sum of its proper divisors (155836779520).

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

102341024000 is an frugal number, since it uses more digits than its factorization.

102341024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40593 (or 40569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102341024000 its reverse (420143201), we get a palindrome (102761167201).

The spelling of 102341024000 in words is "one hundred two billion, three hundred forty-one million, twenty-four thousand".