10121221120121 has 2 divisors, whose sum is σ = 10121221120122. Its totient is φ = 10121221120120.

The previous prime is 10121221120079. The next prime is 10121221120123. The reversal of 10121221120121 is 12102112212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8761665120121 + 1359556000000 = 2960011^2 + 1166000^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121221120121 - 2¹⁸ = 10121220857977 is a prime.

It is a super-2 number, since 2×10121221120121² (a number of 27 digits) contains 22 as substring.

Together with 10121221120123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10121221120121.

It is not a weakly prime, because it can be changed into another prime (10121221120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060610560060 + 5060610560061.

It is an arithmetic number, because the mean of its divisors is an integer number (5060610560061).

Almost surely, 2^{10121221120121} is an apocalyptic number.

It is an amenable number.

10121221120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121221120121 is an equidigital number, since it uses as much as digits as its factorization.

10121221120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10121221120121 its reverse (12102112212101), we get a palindrome (22223333332222).

The spelling of 10121221120121 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".