2211211221001 has 2 divisors, whose sum is σ = 2211211221002. Its totient is φ = 2211211221000.

The previous prime is 2211211220987. The next prime is 2211211221029. The reversal of 2211211221001 is 1001221121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1352208494025 + 859002726976 = 1162845^2 + 926824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211211221001 - 2¹⁹ = 2211210696713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211211228001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105605610500 + 1105605610501.

It is an arithmetic number, because the mean of its divisors is an integer number (1105605610501).

Almost surely, 2^{2211211221001} is an apocalyptic number.

It is an amenable number.

2211211221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211211221001 is an equidigital number, since it uses as much as digits as its factorization.

2211211221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211211221001 its reverse (1001221121122), we get a palindrome (3212432342123).

It can be divided in two parts, 221121122 and 1001, that multiplied together give a palindrome (221342243122).

The spelling of 2211211221001 in words is "two trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, one".