110122212012121 has 2 divisors, whose sum is σ = 110122212012122. Its totient is φ = 110122212012120.

The previous prime is 110122212012119. The next prime is 110122212012161. The reversal of 110122212012121 is 121210212221011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59739543306496 + 50382668705625 = 7729136^2 + 7098075^2 .

It is a cyclic number.

It is not a de Polignac number, because 110122212012121 - 2¹ = 110122212012119 is a prime.

Together with 110122212012119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110122212012161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55061106006060 + 55061106006061.

It is an arithmetic number, because the mean of its divisors is an integer number (55061106006061).

Almost surely, 2^{110122212012121} is an apocalyptic number.

It is an amenable number.

110122212012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122212012121 is an equidigital number, since it uses as much as digits as its factorization.

110122212012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110122212012121 its reverse (121210212221011), we get a palindrome (231332424233132).

The spelling of 110122212012121 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twelve million, twelve thousand, one hundred twenty-one".