101021020213 has 2 divisors, whose sum is σ = 101021020214. Its totient is φ = 101021020212.

The previous prime is 101021020211. The next prime is 101021020271. The reversal of 101021020213 is 312020120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93096993924 + 7924026289 = 305118^2 + 89017^2 .

It is an emirp because it is prime and its reverse (312020120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021020213 - 2¹ = 101021020211 is a prime.

Together with 101021020211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101021020193 and 101021020202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021020211) 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, 50510510106 + 50510510107.

It is an arithmetic number, because the mean of its divisors is an integer number (50510510107).

Almost surely, 2^101021020213 is an apocalyptic number.

It is an amenable number.

101021020213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021020213 is an equidigital number, since it uses as much as digits as its factorization.

101021020213 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 101021020213 its reverse (312020120101), we get a palindrome (413041140314).

The spelling of 101021020213 in words is "one hundred one billion, twenty-one million, twenty thousand, two hundred thirteen".