1102112122213 has 2 divisors, whose sum is σ = 1102112122214. Its totient is φ = 1102112122212.

The previous prime is 1102112122123. The next prime is 1102112122217. The reversal of 1102112122213 is 3122212112011.

Together with previous prime (1102112122123) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1101823903684 + 288218529 = 1049678^2 + 16977^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102112122213 - 2¹³ = 1102112114021 is a prime.

It is a super-2 number, since 2×1102112122213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102112122217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551056061106 + 551056061107.

It is an arithmetic number, because the mean of its divisors is an integer number (551056061107).

Almost surely, 2^{1102112122213} is an apocalyptic number.

It is an amenable number.

1102112122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102112122213 is an equidigital number, since it uses as much as digits as its factorization.

1102112122213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1102112122213 its reverse (3122212112011), we get a palindrome (4224324234224).

The spelling of 1102112122213 in words is "one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred thirteen".