10211121222013 has 2 divisors, whose sum is σ = 10211121222014. Its totient is φ = 10211121222012.

The previous prime is 10211121222011. The next prime is 10211121222091. The reversal of 10211121222013 is 31022212111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8230805247844 + 1980315974169 = 2868938^2 + 1407237^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211121222013 - 2¹ = 10211121222011 is a prime.

It is a super-2 number, since 2×10211121222013² (a number of 27 digits) contains 22 as substring.

Together with 10211121222011, 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 (10211121222011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105560611006 + 5105560611007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105560611007).

Almost surely, 2^{10211121222013} is an apocalyptic number.

It is an amenable number.

10211121222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211121222013 is an equidigital number, since it uses as much as digits as its factorization.

10211121222013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10211121222013 its reverse (31022212111201), we get a palindrome (41233333333214).

The spelling of 10211121222013 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, thirteen".