123130210001 has 2 divisors, whose sum is σ = 123130210002. Its totient is φ = 123130210000.

The previous prime is 123130209953. The next prime is 123130210003. The reversal of 123130210001 is 100012031321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79905720976 + 43224489025 = 282676^2 + 207905^2 .

It is a cyclic number.

It is not a de Polignac number, because 123130210001 - 2¹⁰ = 123130208977 is a prime.

It is a super-2 number, since 2×123130210001² (a number of 23 digits) contains 22 as substring.

Together with 123130210003, 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 (123130210003) 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 as a sum of consecutive naturals, namely, 61565105000 + 61565105001.

It is an arithmetic number, because the mean of its divisors is an integer number (61565105001).

Almost surely, 2^123130210001 is an apocalyptic number.

It is an amenable number.

123130210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123130210001 is an equidigital number, since it uses as much as digits as its factorization.

123130210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 123130210001 its reverse (100012031321), we get a palindrome (223142241322).

The spelling of 123130210001 in words is "one hundred twenty-three billion, one hundred thirty million, two hundred ten thousand, one".