110110212012137 has 2 divisors, whose sum is σ = 110110212012138. Its totient is φ = 110110212012136.

The previous prime is 110110212012077. The next prime is 110110212012149. The reversal of 110110212012137 is 731210212011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63703448325136 + 46406763687001 = 7981444^2 + 6812251^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110212012137 - 2¹⁴ = 110110211995753 is a prime.

It is a super-3 number, since 3×110110212012137³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (110110212012337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055106006068 + 55055106006069.

It is an arithmetic number, because the mean of its divisors is an integer number (55055106006069).

Almost surely, 2^{110110212012137} is an apocalyptic number.

It is an amenable number.

110110212012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110212012137 is an equidigital number, since it uses as much as digits as its factorization.

110110212012137 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 110110212012137 its reverse (731210212011011), we get a palindrome (841320424023148).

The spelling of 110110212012137 in words is "one hundred ten trillion, one hundred ten billion, two hundred twelve million, twelve thousand, one hundred thirty-seven".