212111102117 has 2 divisors, whose sum is σ = 212111102118. Its totient is φ = 212111102116.

The previous prime is 212111102083. The next prime is 212111102129. The reversal of 212111102117 is 711201111212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212073144196 + 37957921 = 460514^2 + 6161^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111102117 - 2¹⁶ = 212111036581 is a prime.

It is a super-2 number, since 2×212111102117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212111102317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055551058 + 106055551059.

It is an arithmetic number, because the mean of its divisors is an integer number (106055551059).

Almost surely, 2^212111102117 is an apocalyptic number.

It is an amenable number.

212111102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111102117 is an equidigital number, since it uses as much as digits as its factorization.

212111102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 212111102117 its reverse (711201111212), we get a palindrome (923312213329).

The spelling of 212111102117 in words is "two hundred twelve billion, one hundred eleven million, one hundred two thousand, one hundred seventeen".