2212102120177 has 2 divisors, whose sum is σ = 2212102120178. Its totient is φ = 2212102120176.

The previous prime is 2212102120121. The next prime is 2212102120187. The reversal of 2212102120177 is 7710212012122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2203965899776 + 8136220401 = 1484576^2 + 90201^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212102120177 - 2¹⁹ = 2212101595889 is a prime.

It is a super-2 number, since 2×2212102120177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2212102120187) 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, 1106051060088 + 1106051060089.

It is an arithmetic number, because the mean of its divisors is an integer number (1106051060089).

Almost surely, 2^{2212102120177} is an apocalyptic number.

It is an amenable number.

2212102120177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212102120177 is an equidigital number, since it uses as much as digits as its factorization.

2212102120177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 2212102120177 its reverse (7710212012122), we get a palindrome (9922314132299).

The spelling of 2212102120177 in words is "two trillion, two hundred twelve billion, one hundred two million, one hundred twenty thousand, one hundred seventy-seven".