211310312122121 has 2 divisors, whose sum is σ = 211310312122122. Its totient is φ = 211310312122120.

The previous prime is 211310312122111. The next prime is 211310312122127. The reversal of 211310312122121 is 121221213013112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210275056746496 + 1035255375625 = 14500864^2 + 1017475^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211310312122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (211310312122127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105655156061060 + 105655156061061.

It is an arithmetic number, because the mean of its divisors is an integer number (105655156061061).

Almost surely, 2^{211310312122121} is an apocalyptic number.

It is an amenable number.

211310312122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211310312122121 is an equidigital number, since it uses as much as digits as its factorization.

211310312122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 211310312122121 its reverse (121221213013112), we get a palindrome (332531525135233).

The spelling of 211310312122121 in words is "two hundred eleven trillion, three hundred ten billion, three hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".