1102210212137 has 2 divisors, whose sum is σ = 1102210212138. Its totient is φ = 1102210212136.

The previous prime is 1102210212107. The next prime is 1102210212139. The reversal of 1102210212137 is 7312120122011.

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., 648764200681 + 453446011456 = 805459^2 + 673384^2 .

It is an emirp because it is prime and its reverse (7312120122011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1102210212137 - 2¹⁸ = 1102209949993 is a prime.

Together with 1102210212139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1102210212139) 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, 551105106068 + 551105106069.

It is an arithmetic number, because the mean of its divisors is an integer number (551105106069).

Almost surely, 2^{1102210212137} is an apocalyptic number.

It is an amenable number.

1102210212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102210212137 is an equidigital number, since it uses as much as digits as its factorization.

1102210212137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 1102210212137 its reverse (7312120122011), we get a palindrome (8414330334148).

The spelling of 1102210212137 in words is "one trillion, one hundred two billion, two hundred ten million, two hundred twelve thousand, one hundred thirty-seven".