123210133122017 has 2 divisors, whose sum is σ = 123210133122018. Its totient is φ = 123210133122016.

The previous prime is 123210133121941. The next prime is 123210133122049. The reversal of 123210133122017 is 710221331012321.

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., 107467204156321 + 15742928965696 = 10366639^2 + 3967736^2 .

It is a cyclic number.

It is not a de Polignac number, because 123210133122017 - 2¹² = 123210133117921 is a prime.

It is a super-2 number, since 2×123210133122017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123210133122917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61605066561008 + 61605066561009.

It is an arithmetic number, because the mean of its divisors is an integer number (61605066561009).

Almost surely, 2^{123210133122017} is an apocalyptic number.

It is an amenable number.

123210133122017 is a deficient number, since it is larger than the sum of its proper divisors (1).

123210133122017 is an equidigital number, since it uses as much as digits as its factorization.

123210133122017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 123210133122017 its reverse (710221331012321), we get a palindrome (833431464134338).

The spelling of 123210133122017 in words is "one hundred twenty-three trillion, two hundred ten billion, one hundred thirty-three million, one hundred twenty-two thousand, seventeen".