10122122117 has 2 divisors, whose sum is σ = 10122122118. Its totient is φ = 10122122116.

The previous prime is 10122122093. The next prime is 10122122137. The reversal of 10122122117 is 71122122101.

It is a happy number.

10122122117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10122122137) can be obtained adding 10122122117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6770985796 + 3351136321 = 82286^2 + 57889^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122122117 - 2¹⁸ = 10121859973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122122137) 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, 5061061058 + 5061061059.

It is an arithmetic number, because the mean of its divisors is an integer number (5061061059).

Almost surely, 2^10122122117 is an apocalyptic number.

It is an amenable number.

10122122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122122117 is an equidigital number, since it uses as much as digits as its factorization.

10122122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 10122122117 its reverse (71122122101), we get a palindrome (81244244218).

The spelling of 10122122117 in words is "ten billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred seventeen".