1122122241001 has 2 divisors, whose sum is σ = 1122122241002. Its totient is φ = 1122122241000.

The previous prime is 1122122240977. The next prime is 1122122241007. The reversal of 1122122241001 is 1001422212211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1121641973776 + 480267225 = 1059076^2 + 21915^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122122241001 - 2¹⁹ = 1122121716713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1122122241001.

It is not a weakly prime, because it can be changed into another prime (1122122241007) 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, 561061120500 + 561061120501.

It is an arithmetic number, because the mean of its divisors is an integer number (561061120501).

Almost surely, 2^{1122122241001} is an apocalyptic number.

It is an amenable number.

1122122241001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122122241001 is an equidigital number, since it uses as much as digits as its factorization.

1122122241001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1122122241001 its reverse (1001422212211), we get a palindrome (2123544453212).

The spelling of 1122122241001 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred forty-one thousand, one".