123221221033121 has 2 divisors, whose sum is σ = 123221221033122. Its totient is φ = 123221221033120.

The previous prime is 123221221033103. The next prime is 123221221033123. The reversal of 123221221033121 is 121330122122321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74621695408225 + 48599525624896 = 8638385^2 + 6971336^2 .

It is a cyclic number.

It is not a de Polignac number, because 123221221033121 - 2³⁴ = 123204041163937 is a prime.

It is a super-2 number, since 2×123221221033121² (a number of 29 digits) contains 22 as substring.

Together with 123221221033123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123221221033123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61610610516560 + 61610610516561.

It is an arithmetic number, because the mean of its divisors is an integer number (61610610516561).

Almost surely, 2^{123221221033121} is an apocalyptic number.

It is an amenable number.

123221221033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123221221033121 is an equidigital number, since it uses as much as digits as its factorization.

123221221033121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 123221221033121 its reverse (121330122122321), we get a palindrome (244551343155442).

The spelling of 123221221033121 in words is "one hundred twenty-three trillion, two hundred twenty-one billion, two hundred twenty-one million, thirty-three thousand, one hundred twenty-one".