201010102202113 has 2 divisors, whose sum is σ = 201010102202114. Its totient is φ = 201010102202112.

The previous prime is 201010102202081. The next prime is 201010102202219. The reversal of 201010102202113 is 311202201010102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106751401851249 + 94258700350864 = 10332057^2 + 9708692^2 .

It is a cyclic number.

It is not a de Polignac number, because 201010102202113 - 2⁵ = 201010102202081 is a prime.

It is a super-2 number, since 2×201010102202113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201010100202113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505051101056 + 100505051101057.

It is an arithmetic number, because the mean of its divisors is an integer number (100505051101057).

Almost surely, 2^{201010102202113} is an apocalyptic number.

It is an amenable number.

201010102202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201010102202113 is an equidigital number, since it uses as much as digits as its factorization.

201010102202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201010102202113 its reverse (311202201010102), we get a palindrome (512212303212215).

The spelling of 201010102202113 in words is "two hundred one trillion, ten billion, one hundred two million, two hundred two thousand, one hundred thirteen".