1102112121017 has 2 divisors, whose sum is σ = 1102112121018. Its totient is φ = 1102112121016.

The previous prime is 1102112121007. The next prime is 1102112121023. The reversal of 1102112121017 is 7101212112011.

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., 654150969616 + 447961151401 = 808796^2 + 669299^2 .

It is an emirp because it is prime and its reverse (7101212112011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1102112121017 - 2¹⁰ = 1102112119993 is a prime.

It is a super-2 number, since 2×1102112121017² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1102112121017.

It is not a weakly prime, because it can be changed into another prime (1102112121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551056060508 + 551056060509.

It is an arithmetic number, because the mean of its divisors is an integer number (551056060509).

Almost surely, 2^{1102112121017} is an apocalyptic number.

It is an amenable number.

1102112121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102112121017 is an equidigital number, since it uses as much as digits as its factorization.

1102112121017 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 1102112121017 its reverse (7101212112011), we get a palindrome (8203324233028).

The spelling of 1102112121017 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, seventeen".