10212121013 has 2 divisors, whose sum is σ = 10212121014. Its totient is φ = 10212121012.

The previous prime is 10212121001. The next prime is 10212121019. The reversal of 10212121013 is 31012121201.

10212121013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7881355729 + 2330765284 = 88777^2 + 48278^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212121013 - 2⁸ = 10212120757 is a prime.

It is a super-2 number, since 2×10212121013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212121019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060506 + 5106060507.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060507).

Almost surely, 2^10212121013 is an apocalyptic number.

It is an amenable number.

10212121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212121013 is an equidigital number, since it uses as much as digits as its factorization.

10212121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10212121013 its reverse (31012121201), we get a palindrome (41224242214).

The spelling of 10212121013 in words is "ten billion, two hundred twelve million, one hundred twenty-one thousand, thirteen".