1122123121001 has 2 divisors, whose sum is σ = 1122123121002. Its totient is φ = 1122123121000.

The previous prime is 1122123120977. The next prime is 1122123121013. The reversal of 1122123121001 is 1001213212211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 820018991401 + 302104129600 = 905549^2 + 549640^2 .

It is an emirp because it is prime and its reverse (1001213212211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1122123121001 - 2¹⁰ = 1122123119977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1122123126001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561061560500 + 561061560501.

It is an arithmetic number, because the mean of its divisors is an integer number (561061560501).

Almost surely, 2^{1122123121001} is an apocalyptic number.

It is an amenable number.

1122123121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122123121001 is an equidigital number, since it uses as much as digits as its factorization.

1122123121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1122123121001 its reverse (1001213212211), we get a palindrome (2123336333212).

The spelling of 1122123121001 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-three million, one hundred twenty-one thousand, one".