123221103331121 has 2 divisors, whose sum is σ = 123221103331122. Its totient is φ = 123221103331120.

The previous prime is 123221103331111. The next prime is 123221103331129. The reversal of 123221103331121 is 121133301122321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99160469464225 + 24060633866896 = 9957935^2 + 4905164^2 .

It is a cyclic number.

It is not a de Polignac number, because 123221103331121 - 2⁶ = 123221103331057 is a prime.

It is a super-2 number, since 2×123221103331121² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (123221103331129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61610551665560 + 61610551665561.

It is an arithmetic number, because the mean of its divisors is an integer number (61610551665561).

Almost surely, 2^{123221103331121} is an apocalyptic number.

It is an amenable number.

123221103331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123221103331121 is an equidigital number, since it uses as much as digits as its factorization.

123221103331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 123221103331121 its reverse (121133301122321), we get a palindrome (244354404453442).

The spelling of 123221103331121 in words is "one hundred twenty-three trillion, two hundred twenty-one billion, one hundred three million, three hundred thirty-one thousand, one hundred twenty-one".