1122122121001 has 6 divisors (see below), whose sum is σ = 1305325732650. Its totient is φ = 961818960816.

The previous prime is 1122122120947. The next prime is 1122122121007. The reversal of 1122122121001 is 1001212212211.

It can be written as a sum of positive squares in only one way, i.e., 1116583189225 + 5538931776 = 1056685^2 + 74424^2 .

It is not a de Polignac number, because 1122122121001 - 2¹⁷ = 1122121989929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122122121007) 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 in 5 ways as a sum of consecutive naturals, for example, 11450225676 + ... + 11450225773.

It is an arithmetic number, because the mean of its divisors is an integer number (217554288775).

Almost surely, 2^{1122122121001} is an apocalyptic number.

It is an amenable number.

1122122121001 is a deficient number, since it is larger than the sum of its proper divisors (183203611649).

1122122121001 is an equidigital number, since it uses as much as digits as its factorization.

1122122121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22900451463 (or 22900451456 counting only the distinct ones).

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

Adding to 1122122121001 its reverse (1001212212211), we get a palindrome (2123334333212).

The spelling of 1122122121001 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one".