10221100013 has 2 divisors, whose sum is σ = 10221100014. Its totient is φ = 10221100012.

The previous prime is 10221099991. The next prime is 10221100031. The reversal of 10221100013 is 31000112201.

Together with next prime (10221100031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6606926089 + 3614173924 = 81283^2 + 60118^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221100013 - 2²⁰ = 10220051437 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 = 10221099967 and 10221100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110550006 + 5110550007.

It is an arithmetic number, because the mean of its divisors is an integer number (5110550007).

Almost surely, 2^10221100013 is an apocalyptic number.

It is an amenable number.

10221100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221100013 is an equidigital number, since it uses as much as digits as its factorization.

10221100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10221100013 its reverse (31000112201), we get a palindrome (41221212214).

The spelling of 10221100013 in words is "ten billion, two hundred twenty-one million, one hundred thousand, thirteen".