10000020212113 has 2 divisors, whose sum is σ = 10000020212114. Its totient is φ = 10000020212112.

The previous prime is 10000020212047. The next prime is 10000020212129. The reversal of 10000020212113 is 31121202000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9979735901184 + 20284310929 = 3159072^2 + 142423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000020212113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000020212093 and 10000020212102.

It is not a weakly prime, because it can be changed into another prime (10000020212183) 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, 5000010106056 + 5000010106057.

It is an arithmetic number, because the mean of its divisors is an integer number (5000010106057).

Almost surely, 2^{10000020212113} is an apocalyptic number.

It is an amenable number.

10000020212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000020212113 is an equidigital number, since it uses as much as digits as its factorization.

10000020212113 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 10000020212113 its reverse (31121202000001), we get a palindrome (41121222212114).

The spelling of 10000020212113 in words is "ten trillion, twenty million, two hundred twelve thousand, one hundred thirteen".