201210021200113 has 2 divisors, whose sum is σ = 201210021200114. Its totient is φ = 201210021200112.

The previous prime is 201210021200093. The next prime is 201210021200117. The reversal of 201210021200113 is 311002120012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128763759097744 + 72446262102369 = 11347412^2 + 8511537^2 .

It is a cyclic number.

It is not a de Polignac number, because 201210021200113 - 2⁴⁵ = 166025649111281 is a prime.

It is not a weakly prime, because it can be changed into another prime (201210021200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100605010600056 + 100605010600057.

It is an arithmetic number, because the mean of its divisors is an integer number (100605010600057).

Almost surely, 2^{201210021200113} is an apocalyptic number.

It is an amenable number.

201210021200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201210021200113 is an equidigital number, since it uses as much as digits as its factorization.

201210021200113 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 201210021200113 its reverse (311002120012102), we get a palindrome (512212141212215).

The spelling of 201210021200113 in words is "two hundred one trillion, two hundred ten billion, twenty-one million, two hundred thousand, one hundred thirteen".