10200210113 has 2 divisors, whose sum is σ = 10200210114. Its totient is φ = 10200210112.

The previous prime is 10200210091. The next prime is 10200210121. The reversal of 10200210113 is 31101200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10135052929 + 65157184 = 100673^2 + 8072^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200210113 - 2¹² = 10200206017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200210094 and 10200210103.

It is not a weakly prime, because it can be changed into another prime (10200213113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100105056 + 5100105057.

It is an arithmetic number, because the mean of its divisors is an integer number (5100105057).

Almost surely, 2^10200210113 is an apocalyptic number.

It is an amenable number.

10200210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200210113 is an equidigital number, since it uses as much as digits as its factorization.

10200210113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10200210113 its reverse (31101200201), we get a palindrome (41301410314).

The spelling of 10200210113 in words is "ten billion, two hundred million, two hundred ten thousand, one hundred thirteen".