102201123120013 has 2 divisors, whose sum is σ = 102201123120014. Its totient is φ = 102201123120012.

The previous prime is 102201123120001. The next prime is 102201123120043. The reversal of 102201123120013 is 310021321102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77115479897764 + 25085643222249 = 8781542^2 + 5008557^2 .

It is an emirp because it is prime and its reverse (310021321102201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201123120013 is a prime.

It is a super-2 number, since 2×102201123120013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201123120043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100561560006 + 51100561560007.

It is an arithmetic number, because the mean of its divisors is an integer number (51100561560007).

Almost surely, 2^{102201123120013} is an apocalyptic number.

It is an amenable number.

102201123120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201123120013 is an equidigital number, since it uses as much as digits as its factorization.

102201123120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102201123120013 its reverse (310021321102201), we get a palindrome (412222444222214).

The spelling of 102201123120013 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-three million, one hundred twenty thousand, thirteen".