211122012002117 has 2 divisors, whose sum is σ = 211122012002118. Its totient is φ = 211122012002116.

The previous prime is 211122012002071. The next prime is 211122012002129. The reversal of 211122012002117 is 711200210221112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112167882992356 + 98954129009761 = 10590934^2 + 9947569^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122012002117 - 2³⁴ = 211104832132933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122012002092 and 211122012002101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122012007117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561006001058 + 105561006001059.

It is an arithmetic number, because the mean of its divisors is an integer number (105561006001059).

Almost surely, 2^{211122012002117} is an apocalyptic number.

It is an amenable number.

211122012002117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122012002117 is an equidigital number, since it uses as much as digits as its factorization.

211122012002117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 211122012002117 its reverse (711200210221112), we get a palindrome (922322222223229).

The spelling of 211122012002117 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, two thousand, one hundred seventeen".