2010210113 has 2 divisors, whose sum is σ = 2010210114. Its totient is φ = 2010210112.

The previous prime is 2010210071. The next prime is 2010210121. The reversal of 2010210113 is 3110120102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1445292289 + 564917824 = 38017^2 + 23768^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010210113 - 2¹⁸ = 2009947969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010210094 and 2010210103.

It is not a weakly prime, because it can be changed into another prime (2010210133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005105056 + 1005105057.

It is an arithmetic number, because the mean of its divisors is an integer number (1005105057).

Almost surely, 2^2010210113 is an apocalyptic number.

It is an amenable number.

2010210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010210113 is an equidigital number, since it uses as much as digits as its factorization.

2010210113 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.

The square root of 2010210113 is about 44835.3667655345. The cubic root of 2010210113 is about 1262.0614011933.

Adding to 2010210113 its reverse (3110120102), we get a palindrome (5120330215).

The spelling of 2010210113 in words is "two billion, ten million, two hundred ten thousand, one hundred thirteen".