1002001000000 has 1323 divisors, whose sum is σ = 3441167300151. Its totient is φ = 288288000000.

The previous prime is 1002000999973. The next prime is 1002001000027. The reversal of 1002001000000 is 1002001.

The square root of 1002001000000 is 1001000.

It is a perfect power (a square), and thus also a powerful number.

1002001000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002000999973) and next prime (1002001000027).

It can be written as a sum of positive squares in 10 ways, for example, as 470058329664 + 531942670336 = 685608^2 + 729344^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 77076999994 + ... + 77077000006.

Almost surely, 2^{1002001000000} is an apocalyptic number.

1002001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002001000000 is the 1001000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002001000000

1002001000000 is an abundant number, since it is smaller than the sum of its proper divisors (2439166300151).

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

1002001000000 is an frugal number, since it uses more digits than its factorization.

1002001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 1002001000000 its reverse (1002001), we get a palindrome (1002002002001).

1002001000000 divided by its reverse (1002001) gives a 6-th power (1000000 = 10⁶).

The spelling of 1002001000000 in words is "one trillion, two billion, one million", and thus it is an aban number and an uban number.