211302212211121 has 2 divisors, whose sum is σ = 211302212211122. Its totient is φ = 211302212211120.

The previous prime is 211302212211109. The next prime is 211302212211133. The reversal of 211302212211121 is 121112212203112.

It is a balanced prime because it is at equal distance from previous prime (211302212211109) and next prime (211302212211133).

It can be written as a sum of positive squares in only one way, i.e., 190333368530496 + 20968843680625 = 13796136^2 + 4579175^2 .

It is a cyclic number.

It is not a de Polignac number, because 211302212211121 - 2¹⁹ = 211302211686833 is a prime.

It is a super-2 number, since 2×211302212211121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211302212211092 and 211302212211101.

It is not a weakly prime, because it can be changed into another prime (211302212215121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105651106105560 + 105651106105561.

It is an arithmetic number, because the mean of its divisors is an integer number (105651106105561).

Almost surely, 2^{211302212211121} is an apocalyptic number.

It is an amenable number.

211302212211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211302212211121 is an equidigital number, since it uses as much as digits as its factorization.

211302212211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 211302212211121 its reverse (121112212203112), we get a palindrome (332414424414233).

The spelling of 211302212211121 in words is "two hundred eleven trillion, three hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".