1001021002001 has 8 divisors (see below), whose sum is σ = 1079902791144. Its totient is φ = 924361235200.

The previous prime is 1001021001989. The next prime is 1001021002013. The reversal of 1001021002001 is 1002001201001.

It is an interprime number because it is at equal distance from previous prime (1001021001989) and next prime (1001021002013).

It can be written as a sum of positive squares in 4 ways, for example, as 306557112976 + 694463889025 = 553676^2 + 833345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001021002001 - 2¹⁴ = 1001020985617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001021002001.

It is not an unprimeable number, because it can be changed into a prime (1001021002061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555504650 + ... + 555506451.

It is an arithmetic number, because the mean of its divisors is an integer number (134987848893).

Almost surely, 2^{1001021002001} is an apocalyptic number.

It is an amenable number.

1001021002001 is a deficient number, since it is larger than the sum of its proper divisors (78881789143).

1001021002001 is a wasteful number, since it uses less digits than its factorization.

1001021002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111011171.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001021002001 its reverse (1002001201001), we get a palindrome (2003022203002).

The spelling of 1001021002001 in words is "one trillion, one billion, twenty-one million, two thousand, one".