102033320000 has 280 divisors, whose sum is σ = 269697387960. Its totient is φ = 38154240000.

The previous prime is 102033319987. The next prime is 102033320033. The reversal of 102033320000 is 23330201.

It can be written as a sum of positive squares in 20 ways, for example, as 101822257216 + 211062784 = 319096^2 + 14528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123079586 + ... + 123080414.

It is an arithmetic number, because the mean of its divisors is an integer number (963204957).

Almost surely, 2^102033320000 is an apocalyptic number.

102033320000 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 102033320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134848693980).

102033320000 is an abundant number, since it is smaller than the sum of its proper divisors (167664067960).

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

102033320000 is an equidigital number, since it uses as much as digits as its factorization.

102033320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 102033320000 its reverse (23330201), we get a palindrome (102056650201).

The spelling of 102033320000 in words is "one hundred two billion, thirty-three million, three hundred twenty thousand".