10211200212113 has 2 divisors, whose sum is σ = 10211200212114. Its totient is φ = 10211200212112.

The previous prime is 10211200212091. The next prime is 10211200212127. The reversal of 10211200212113 is 31121200211201.

It is a happy number.

10211200212113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5749862064769 + 4461338147344 = 2397887^2 + 2112188^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211200212113 - 2³² = 10206905244817 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 = 10211200212091 and 10211200212100.

It is not a weakly prime, because it can be changed into another prime (10211200212163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105600106056 + 5105600106057.

It is an arithmetic number, because the mean of its divisors is an integer number (5105600106057).

Almost surely, 2^{10211200212113} is an apocalyptic number.

It is an amenable number.

10211200212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211200212113 is an equidigital number, since it uses as much as digits as its factorization.

10211200212113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10211200212113 its reverse (31121200211201), we get a palindrome (41332400423314).

The spelling of 10211200212113 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred twelve thousand, one hundred thirteen".