2001200011001 has 2 divisors, whose sum is σ = 2001200011002. Its totient is φ = 2001200011000.

The previous prime is 2001200010989. The next prime is 2001200011039. The reversal of 2001200011001 is 1001100021002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1042124514025 + 959075496976 = 1020845^2 + 979324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001200011001 - 2¹⁸ = 2001199748857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001200011001.

It is not a weakly prime, because it can be changed into another prime (2001200011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000600005500 + 1000600005501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000600005501).

Almost surely, 2^{2001200011001} is an apocalyptic number.

It is an amenable number.

2001200011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001200011001 is an equidigital number, since it uses as much as digits as its factorization.

2001200011001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2001200011001 its reverse (1001100021002), we get a palindrome (3002300032003).

It can be divided in two parts, 200120001 and 1001, that added together give a palindrome (200121002).

The spelling of 2001200011001 in words is "two trillion, one billion, two hundred million, eleven thousand, one".