2011001011001 has 2 divisors, whose sum is σ = 2011001011002. Its totient is φ = 2011001011000.

The previous prime is 2011001010979. The next prime is 2011001011093. The reversal of 2011001011001 is 1001101001102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1129841443600 + 881159567401 = 1062940^2 + 938701^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011001011001 - 2³⁰ = 2009927269177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011001011001.

It is not a weakly prime, because it can be changed into another prime (2011001016001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005500505500 + 1005500505501.

It is an arithmetic number, because the mean of its divisors is an integer number (1005500505501).

Almost surely, 2^{2011001011001} is an apocalyptic number.

It is an amenable number.

2011001011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011001011001 is an equidigital number, since it uses as much as digits as its factorization.

2011001011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2011001011001 its reverse (1001101001102), we get a palindrome (3012102012103).

It can be divided in two parts, 201100101 and 1001, that added together give a palindrome (201101102).

The spelling of 2011001011001 in words is "two trillion, eleven billion, one million, eleven thousand, one".