1001020000002 has 256 divisors, whose sum is σ = 2433997209600. Its totient is φ = 273314606400.

The previous prime is 1001019999997. The next prime is 1001020000003. The reversal of 1001020000002 is 2000000201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1001020000003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277519683 + ... + 277523289.

It is an arithmetic number, because the mean of its divisors is an integer number (9507801600).

Almost surely, 2^{1001020000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001020000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216998604800).

1001020000002 is an abundant number, since it is smaller than the sum of its proper divisors (1432977209598).

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

1001020000002 is a wasteful number, since it uses less digits than its factorization.

1001020000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1001020000002 its reverse (2000000201001), we get a palindrome (3001020201003).

The spelling of 1001020000002 in words is "one trillion, one billion, twenty million, two", and thus it is an aban number and an uban number.