10212102013 has 2 divisors, whose sum is σ = 10212102014. Its totient is φ = 10212102012.

The previous prime is 10212101983. The next prime is 10212102023. The reversal of 10212102013 is 31020121201.

10212102013 is digitally balanced in base 2, 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., 6422099044 + 3790002969 = 80138^2 + 61563^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212102013 - 2¹³ = 10212093821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212101984 and 10212102002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106051006 + 5106051007.

It is an arithmetic number, because the mean of its divisors is an integer number (5106051007).

Almost surely, 2^10212102013 is an apocalyptic number.

It is an amenable number.

10212102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212102013 is an equidigital number, since it uses as much as digits as its factorization.

10212102013 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 13.

Adding to 10212102013 its reverse (31020121201), we get a palindrome (41232223214).

It can be divided in two parts, 10212 and 102013, that added together give a square (112225 = 335²).

The spelling of 10212102013 in words is "ten billion, two hundred twelve million, one hundred two thousand, thirteen".