10212313121 has 2 divisors, whose sum is σ = 10212313122. Its totient is φ = 10212313120.

The previous prime is 10212313093. The next prime is 10212313147. The reversal of 10212313121 is 12131321201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7807489600 + 2404823521 = 88360^2 + 49039^2 .

It is an emirp because it is prime and its reverse (12131321201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212313121 - 2³⁰ = 9138571297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10212313121.

It is not a weakly prime, because it can be changed into another prime (10212313171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106156560 + 5106156561.

It is an arithmetic number, because the mean of its divisors is an integer number (5106156561).

Almost surely, 2^10212313121 is an apocalyptic number.

It is an amenable number.

10212313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212313121 is an equidigital number, since it uses as much as digits as its factorization.

10212313121 is an evil number, because the sum of its binary digits is even.

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

Adding to 10212313121 its reverse (12131321201), we get a palindrome (22343634322).

The spelling of 10212313121 in words is "ten billion, two hundred twelve million, three hundred thirteen thousand, one hundred twenty-one".