102210110121137 has 2 divisors, whose sum is σ = 102210110121138. Its totient is φ = 102210110121136.

The previous prime is 102210110121061. The next prime is 102210110121139. The reversal of 102210110121137 is 731121011012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68686369100176 + 33523741020961 = 8287724^2 + 5789969^2 .

It is an emirp because it is prime and its reverse (731121011012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210110121137 - 2¹⁰ = 102210110120113 is a prime.

It is a super-3 number, since 3×102210110121137³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 102210110121139, 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 (102210110121139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105055060568 + 51105055060569.

It is an arithmetic number, because the mean of its divisors is an integer number (51105055060569).

Almost surely, 2^{102210110121137} is an apocalyptic number.

It is an amenable number.

102210110121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210110121137 is an equidigital number, since it uses as much as digits as its factorization.

102210110121137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 102210110121137 its reverse (731121011012201), we get a palindrome (833331121133338).

The spelling of 102210110121137 in words is "one hundred two trillion, two hundred ten billion, one hundred ten million, one hundred twenty-one thousand, one hundred thirty-seven".