10120122121 has 2 divisors, whose sum is σ = 10120122122. Its totient is φ = 10120122120.

The previous prime is 10120122119. The next prime is 10120122163. The reversal of 10120122121 is 12122102101.

10120122121 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5175219721 + 4944902400 = 71939^2 + 70320^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120122121 - 2¹ = 10120122119 is a prime.

Together with 10120122119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10120122191) 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, 5060061060 + 5060061061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060061061).

Almost surely, 2^10120122121 is an apocalyptic number.

It is an amenable number.

10120122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120122121 is an equidigital number, since it uses as much as digits as its factorization.

10120122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120122121 its reverse (12122102101), we get a palindrome (22242224222).

The spelling of 10120122121 in words is "ten billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".