102202320000 has 320 divisors, whose sum is σ = 370084160160. Its totient is φ = 24775680000.

The previous prime is 102202319981. The next prime is 102202320001. The reversal of 102202320000 is 23202201.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (102202320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2620644 + ... + 2659356.

Almost surely, 2^102202320000 is an apocalyptic number.

102202320000 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 102202320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185042080080).

102202320000 is an abundant number, since it is smaller than the sum of its proper divisors (267881840160).

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

102202320000 is an equidigital number, since it uses as much as digits as its factorization.

102202320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38761 (or 38734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 102202320000 its reverse (23202201), we get a palindrome (102225522201).

The spelling of 102202320000 in words is "one hundred two billion, two hundred two million, three hundred twenty thousand".