212011112100121 has 2 divisors, whose sum is σ = 212011112100122. Its totient is φ = 212011112100120.

The previous prime is 212011112100119. The next prime is 212011112100127. The reversal of 212011112100121 is 121001211110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111117846150025 + 100893265950096 = 10541245^2 + 10044564^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011112100121 - 2¹ = 212011112100119 is a prime.

Together with 212011112100119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212011112100095 and 212011112100104.

It is not a weakly prime, because it can be changed into another prime (212011112100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005556050060 + 106005556050061.

It is an arithmetic number, because the mean of its divisors is an integer number (106005556050061).

Almost surely, 2^{212011112100121} is an apocalyptic number.

It is an amenable number.

212011112100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011112100121 is an equidigital number, since it uses as much as digits as its factorization.

212011112100121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212011112100121 its reverse (121001211110212), we get a palindrome (333012323210333).

The spelling of 212011112100121 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, one hundred thousand, one hundred twenty-one".