10123132121 has 2 divisors, whose sum is σ = 10123132122. Its totient is φ = 10123132120.

The previous prime is 10123132087. The next prime is 10123132133. The reversal of 10123132121 is 12123132101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7399440400 + 2723691721 = 86020^2 + 52189^2 .

It is an emirp because it is prime and its reverse (12123132101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123132121 - 2¹⁰ = 10123131097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10123132121.

It is not a weakly prime, because it can be changed into another prime (10123132021) 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, 5061566060 + 5061566061.

It is an arithmetic number, because the mean of its divisors is an integer number (5061566061).

Almost surely, 2^10123132121 is an apocalyptic number.

It is an amenable number.

10123132121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123132121 is an equidigital number, since it uses as much as digits as its factorization.

10123132121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10123132121 its reverse (12123132101), we get a palindrome (22246264222).

The spelling of 10123132121 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-one".