211221323122129 has 2 divisors, whose sum is σ = 211221323122130. Its totient is φ = 211221323122128.

The previous prime is 211221323122109. The next prime is 211221323122133. The reversal of 211221323122129 is 921221323122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175751973093904 + 35469350028225 = 13257148^2 + 5955615^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221323122129 - 2²⁵ = 211221289567697 is a prime.

It is a super-2 number, since 2×211221323122129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221323122094 and 211221323122103.

It is not a weakly prime, because it can be changed into another prime (211221323122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610661561064 + 105610661561065.

It is an arithmetic number, because the mean of its divisors is an integer number (105610661561065).

Almost surely, 2^{211221323122129} is an apocalyptic number.

It is an amenable number.

211221323122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221323122129 is an equidigital number, since it uses as much as digits as its factorization.

211221323122129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 34.

The spelling of 211221323122129 in words is "two hundred eleven trillion, two hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty-nine".