121000121100121 has 2 divisors, whose sum is σ = 121000121100122. Its totient is φ = 121000121100120.

The previous prime is 121000121100119. The next prime is 121000121100151. The reversal of 121000121100121 is 121001121000121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120931017834496 + 69103265625 = 10996864^2 + 262875^2 .

It is a cyclic number.

It is not a de Polignac number, because 121000121100121 - 2¹ = 121000121100119 is a prime.

Together with 121000121100119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121000121100151) 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, 60500060550060 + 60500060550061.

It is an arithmetic number, because the mean of its divisors is an integer number (60500060550061).

Almost surely, 2^{121000121100121} is an apocalyptic number.

It is an amenable number.

121000121100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121000121100121 is an equidigital number, since it uses as much as digits as its factorization.

121000121100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121000121100121 its reverse (121001121000121), we get a palindrome (242001242100242).

The spelling of 121000121100121 in words is "one hundred twenty-one trillion, one hundred twenty-one million, one hundred thousand, one hundred twenty-one".