101021122010213 has 2 divisors, whose sum is σ = 101021122010214. Its totient is φ = 101021122010212.

The previous prime is 101021122010197. The next prime is 101021122010297. The reversal of 101021122010213 is 312010221120101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91025299955524 + 9995822054689 = 9540718^2 + 3161617^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021122010213 - 2⁴ = 101021122010197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101021122010191 and 101021122010200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021122010713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510561005106 + 50510561005107.

It is an arithmetic number, because the mean of its divisors is an integer number (50510561005107).

Almost surely, 2^{101021122010213} is an apocalyptic number.

It is an amenable number.

101021122010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021122010213 is an equidigital number, since it uses as much as digits as its factorization.

101021122010213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101021122010213 its reverse (312010221120101), we get a palindrome (413031343130314).

The spelling of 101021122010213 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, ten thousand, two hundred thirteen".