1020001020001 has 4 divisors (see below), whose sum is σ = 1030516494532. Its totient is φ = 1009485545472.

The previous prime is 1020001019981. The next prime is 1020001020011. The reversal of 1020001020001 is 1000201000201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 536907907600 + 483093112401 = 732740^2 + 695049^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020001020001 - 2¹⁹ = 1020000495713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020001020011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5257737120 + ... + 5257737313.

It is an arithmetic number, because the mean of its divisors is an integer number (257629123633).

Almost surely, 2^{1020001020001} is an apocalyptic number.

It is an amenable number.

1020001020001 is a deficient number, since it is larger than the sum of its proper divisors (10515474531).

1020001020001 is an equidigital number, since it uses as much as digits as its factorization.

1020001020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515474530.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1020001020001 its reverse (1000201000201), we get a palindrome (2020202020202).

The spelling of 1020001020001 in words is "one trillion, twenty billion, one million, twenty thousand, one".