1002001020001 has 8 divisors (see below), whose sum is σ = 1003752166824. Its totient is φ = 1000250254080.

The previous prime is 1002001019983. The next prime is 1002001020023. The reversal of 1002001020001 is 1000201002001.

1002001020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17272267776 + 984728752225 = 131424^2 + 992335^2 .

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 1002001020001 - 2²¹ = 1001998922849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002001026001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5451735 + ... + 5632531.

It is an arithmetic number, because the mean of its divisors is an integer number (125469020853).

Almost surely, 2^{1002001020001} is an apocalyptic number.

It is an amenable number.

1002001020001 is a deficient number, since it is larger than the sum of its proper divisors (1751146823).

1002001020001 is an equidigital number, since it uses as much as digits as its factorization.

1002001020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190451.

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

Adding to 1002001020001 its reverse (1000201002001), we get a palindrome (2002202022002).

The spelling of 1002001020001 in words is "one trillion, two billion, one million, twenty thousand, one".