10122020122121 has 2 divisors, whose sum is σ = 10122020122122. Its totient is φ = 10122020122120.

The previous prime is 10122020122091. The next prime is 10122020122129. The reversal of 10122020122121 is 12122102022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9940683823225 + 181336298896 = 3152885^2 + 425836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122020122121 - 2⁶ = 10122020122057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10122020122121.

It is not a weakly prime, because it can be changed into another prime (10122020122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061010061060 + 5061010061061.

It is an arithmetic number, because the mean of its divisors is an integer number (5061010061061).

Almost surely, 2^{10122020122121} is an apocalyptic number.

It is an amenable number.

10122020122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122020122121 is an equidigital number, since it uses as much as digits as its factorization.

10122020122121 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 17.

Adding to 10122020122121 its reverse (12122102022101), we get a palindrome (22244122144222).

The spelling of 10122020122121 in words is "ten trillion, one hundred twenty-two billion, twenty million, one hundred twenty-two thousand, one hundred twenty-one".