101022020020213 has 2 divisors, whose sum is σ = 101022020020214. Its totient is φ = 101022020020212.

The previous prime is 101022020020211. The next prime is 101022020020237. The reversal of 101022020020213 is 312020020220101.

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., 81821305433169 + 19200714587044 = 9045513^2 + 4381862^2 .

It is an emirp because it is prime and its reverse (312020020220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022020020213 - 2¹ = 101022020020211 is a prime.

Together with 101022020020211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022020020211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511010010106 + 50511010010107.

It is an arithmetic number, because the mean of its divisors is an integer number (50511010010107).

Almost surely, 2^{101022020020213} is an apocalyptic number.

It is an amenable number.

101022020020213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022020020213 is an equidigital number, since it uses as much as digits as its factorization.

101022020020213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101022020020213 its reverse (312020020220101), we get a palindrome (413042040240314).

The spelling of 101022020020213 in words is "one hundred one trillion, twenty-two billion, twenty million, twenty thousand, two hundred thirteen".