1002001026001 has 2 divisors, whose sum is σ = 1002001026002. Its totient is φ = 1002001026000.

The previous prime is 1002001025953. The next prime is 1002001026017. The reversal of 1002001026001 is 1006201002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998270748225 + 3730277776 = 999135^2 + 61076^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002001026001 - 2²⁵ = 1001967471569 is a prime.

It is a super-2 number, since 2×1002001026001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1002001026401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000513000 + 501000513001.

It is an arithmetic number, because the mean of its divisors is an integer number (501000513001).

Almost surely, 2^{1002001026001} is an apocalyptic number.

It is an amenable number.

1002001026001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002001026001 is an equidigital number, since it uses as much as digits as its factorization.

1002001026001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1002001026001 its reverse (1006201002001), we get a palindrome (2008202028002).

The spelling of 1002001026001 in words is "one trillion, two billion, one million, twenty-six thousand, one".