2011221211001 has 2 divisors, whose sum is σ = 2011221211002. Its totient is φ = 2011221211000.

The previous prime is 2011221210967. The next prime is 2011221211049. The reversal of 2011221211001 is 1001121221102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1615644366400 + 395576844601 = 1271080^2 + 628949^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011221211001 - 2³⁰ = 2010147469177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2011221211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005610605500 + 1005610605501.

It is an arithmetic number, because the mean of its divisors is an integer number (1005610605501).

Almost surely, 2^{2011221211001} is an apocalyptic number.

It is an amenable number.

2011221211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011221211001 is an equidigital number, since it uses as much as digits as its factorization.

2011221211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011221211001 its reverse (1001121221102), we get a palindrome (3012342432103).

It can be divided in two parts, 2011221 and 211001, that added together give a palindrome (2222222).

The spelling of 2011221211001 in words is "two trillion, eleven billion, two hundred twenty-one million, two hundred eleven thousand, one".