123223021105001 has 2 divisors, whose sum is σ = 123223021105002. Its totient is φ = 123223021105000.

The previous prime is 123223021104973. The next prime is 123223021105069. The reversal of 123223021105001 is 100501120322321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81408032569600 + 41814988535401 = 9022640^2 + 6466451^2 .

It is an emirp because it is prime and its reverse (100501120322321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123223021105001 is a prime.

It is not a weakly prime, because it can be changed into another prime (123223021105901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61611510552500 + 61611510552501.

It is an arithmetic number, because the mean of its divisors is an integer number (61611510552501).

Almost surely, 2^{123223021105001} is an apocalyptic number.

It is an amenable number.

123223021105001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123223021105001 is an equidigital number, since it uses as much as digits as its factorization.

123223021105001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 123223021105001 its reverse (100501120322321), we get a palindrome (223724141427322).

The spelling of 123223021105001 in words is "one hundred twenty-three trillion, two hundred twenty-three billion, twenty-one million, one hundred five thousand, one".