1001002001001 has 16 divisors (see below), whose sum is σ = 1348024058688. Its totient is φ = 660658680000.

The previous prime is 1001002000993. The next prime is 1001002001039.

1001002001001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1001002001001 - 2³ = 1001002000993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001002011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2833170 + ... + 3166836.

It is an arithmetic number, because the mean of its divisors is an integer number (84251503668).

Almost surely, 2^{1001002001001} is an apocalyptic number.

It is an amenable number.

1001002001001 is a deficient number, since it is larger than the sum of its proper divisors (347022057687).

1001002001001 is a wasteful number, since it uses less digits than its factorization.

1001002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343672.

The product of its (nonzero) digits is 2, while the sum is 6.

The spelling of 1001002001001 in words is "one trillion, one billion, two million, one thousand, one".