10121223022121 has 2 divisors, whose sum is σ = 10121223022122. Its totient is φ = 10121223022120.

The previous prime is 10121223022109. The next prime is 10121223022133. The reversal of 10121223022121 is 12122032212101.

It is a balanced prime because it is at equal distance from previous prime (10121223022109) and next prime (10121223022133).

It can be written as a sum of positive squares in only one way, i.e., 5575095434896 + 4546127587225 = 2361164^2 + 2132165^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121223022121 - 2²⁶ = 10121155913257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10121223022093 and 10121223022102.

It is not a weakly prime, because it can be changed into another prime (10121223082121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060611511060 + 5060611511061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060611511061).

Almost surely, 2^{10121223022121} is an apocalyptic number.

It is an amenable number.

10121223022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121223022121 is an equidigital number, since it uses as much as digits as its factorization.

10121223022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10121223022121 its reverse (12122032212101), we get a palindrome (22243255234222).

The spelling of 10121223022121 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-three million, twenty-two thousand, one hundred twenty-one".