1002002011001 has 2 divisors, whose sum is σ = 1002002011002. Its totient is φ = 1002002011000.

The previous prime is 1002002010923. The next prime is 1002002011009. The reversal of 1002002011001 is 1001102002001.

It is an a-pointer prime, because the next prime (1002002011009) can be obtained adding 1002002011001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879701429776 + 122300581225 = 937924^2 + 349715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002002011001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002002011001.

It is not a weakly prime, because it can be changed into another prime (1002002011009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501001005500 + 501001005501.

It is an arithmetic number, because the mean of its divisors is an integer number (501001005501).

Almost surely, 2^{1002002011001} is an apocalyptic number.

It is an amenable number.

1002002011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002002011001 is an equidigital number, since it uses as much as digits as its factorization.

1002002011001 is an evil number, because the sum of its binary digits is even.

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

Adding to 1002002011001 its reverse (1001102002001), we get a palindrome (2003104013002).

The spelling of 1002002011001 in words is "one trillion, two billion, two million, eleven thousand, one".