10010202113 has 2 divisors, whose sum is σ = 10010202114. Its totient is φ = 10010202112.

The previous prime is 10010202091. The next prime is 10010202121. The reversal of 10010202113 is 31120201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7755091969 + 2255110144 = 88063^2 + 47488^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010202113 - 2¹⁸ = 10009939969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010202094 and 10010202103.

It is not a weakly prime, because it can be changed into another prime (10010202313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005101056 + 5005101057.

It is an arithmetic number, because the mean of its divisors is an integer number (5005101057).

Almost surely, 2^10010202113 is an apocalyptic number.

It is an amenable number.

10010202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010202113 is an equidigital number, since it uses as much as digits as its factorization.

10010202113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10010202113 its reverse (31120201001), we get a palindrome (41130403114).

The spelling of 10010202113 in words is "ten billion, ten million, two hundred two thousand, one hundred thirteen".