10001212200013 has 2 divisors, whose sum is σ = 10001212200014. Its totient is φ = 10001212200012.

The previous prime is 10001212199981. The next prime is 10001212200041. The reversal of 10001212200013 is 31000221210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5664414280009 + 4336797920004 = 2380003^2 + 2082498^2 .

It is an emirp because it is prime and its reverse (31000221210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001212200013 - 2⁵ = 10001212199981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001212199966 and 10001212200002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001212200113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000606100006 + 5000606100007.

It is an arithmetic number, because the mean of its divisors is an integer number (5000606100007).

Almost surely, 2^{10001212200013} is an apocalyptic number.

It is an amenable number.

10001212200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001212200013 is an equidigital number, since it uses as much as digits as its factorization.

10001212200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10001212200013 its reverse (31000221210001), we get a palindrome (41001433410014).

The spelling of 10001212200013 in words is "ten trillion, one billion, two hundred twelve million, two hundred thousand, thirteen".