211122022011001 has 2 divisors, whose sum is σ = 211122022011002. Its totient is φ = 211122022011000.

The previous prime is 211122022010987. The next prime is 211122022011011. The reversal of 211122022011001 is 100110220221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183995633121001 + 27126388890000 = 13564499^2 + 5208300^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122022011001 - 2²³ = 211122013622393 is a prime.

It is not a weakly prime, because it can be changed into another prime (211122022011011) 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, 105561011005500 + 105561011005501.

It is an arithmetic number, because the mean of its divisors is an integer number (105561011005501).

Almost surely, 2^{211122022011001} is an apocalyptic number.

It is an amenable number.

211122022011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122022011001 is an equidigital number, since it uses as much as digits as its factorization.

211122022011001 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 211122022011001 its reverse (100110220221112), we get a palindrome (311232242232113).

The spelling of 211122022011001 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, eleven thousand, one".