122100210013 has 2 divisors, whose sum is σ = 122100210014. Its totient is φ = 122100210012.

The previous prime is 122100209993. The next prime is 122100210019. The reversal of 122100210013 is 310012001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101517429924 + 20582780089 = 318618^2 + 143467^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100210013 - 2⁹ = 122100209501 is a prime.

It is a super-2 number, since 2×122100210013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122100209975 and 122100210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100210019) 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, 61050105006 + 61050105007.

It is an arithmetic number, because the mean of its divisors is an integer number (61050105007).

Almost surely, 2^122100210013 is an apocalyptic number.

It is an amenable number.

122100210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100210013 is an equidigital number, since it uses as much as digits as its factorization.

122100210013 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 122100210013 its reverse (310012001221), we get a palindrome (432112211234).

The spelling of 122100210013 in words is "one hundred twenty-two billion, one hundred million, two hundred ten thousand, thirteen".