1002010320000 has 960 divisors, whose sum is σ = 3831017275800. Its totient is φ = 250822656000.

The previous prime is 1002010319951. The next prime is 1002010320007. The reversal of 1002010320000 is 230102001.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 5159836224 + 996850483776 = 71832^2 + 998424^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002010320007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 772559352 + ... + 772560648.

Almost surely, 2^{1002010320000} is an apocalyptic number.

1002010320000 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 1002010320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915508637900).

1002010320000 is an abundant number, since it is smaller than the sum of its proper divisors (2829006955800).

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

1002010320000 is a wasteful number, since it uses less digits than its factorization.

1002010320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1002010320000 its reverse (230102001), we get a palindrome (1002240422001).

The spelling of 1002010320000 in words is "one trillion, two billion, ten million, three hundred twenty thousand".