1002010110208 has 72 divisors (see below), whose sum is σ = 2046596538168. Its totient is φ = 489440919552.

The previous prime is 1002010110109. The next prime is 1002010110223. The reversal of 1002010110208 is 8020110102001.

It can be written as a sum of positive squares in 4 ways, for example, as 15150655744 + 986859454464 = 123088^2 + 993408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1002010110191 and 1002010110200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3002866 + ... + 3319822.

It is an arithmetic number, because the mean of its divisors is an integer number (28424951919).

Almost surely, 2^{1002010110208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002010110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023298269084).

1002010110208 is an abundant number, since it is smaller than the sum of its proper divisors (1044586427960).

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

1002010110208 is an equidigital number, since it uses as much as digits as its factorization.

1002010110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317259 (or 317245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1002010110208 its reverse (8020110102001), we get a palindrome (9022120212209).

The spelling of 1002010110208 in words is "one trillion, two billion, ten million, one hundred ten thousand, two hundred eight".