200212020122113 has 2 divisors, whose sum is σ = 200212020122114. Its totient is φ = 200212020122112.

The previous prime is 200212020122053. The next prime is 200212020122281. The reversal of 200212020122113 is 311221020212002.

200212020122113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165527600257009 + 34684419865104 = 12865753^2 + 5889348^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212020122113 - 2⁹ = 200212020121601 is a prime.

It is a super-2 number, since 2×200212020122113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200212020152113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106010061056 + 100106010061057.

It is an arithmetic number, because the mean of its divisors is an integer number (100106010061057).

Almost surely, 2^{200212020122113} is an apocalyptic number.

It is an amenable number.

200212020122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212020122113 is an equidigital number, since it uses as much as digits as its factorization.

200212020122113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 200212020122113 its reverse (311221020212002), we get a palindrome (511433040334115).

The spelling of 200212020122113 in words is "two hundred trillion, two hundred twelve billion, twenty million, one hundred twenty-two thousand, one hundred thirteen".