122121021012121 has 2 divisors, whose sum is σ = 122121021012122. Its totient is φ = 122121021012120.

The previous prime is 122121021012119. The next prime is 122121021012139. The reversal of 122121021012121 is 121210120121221.

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., 109034027428096 + 13086993584025 = 10441936^2 + 3617595^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121021012121 - 2¹ = 122121021012119 is a prime.

Together with 122121021012119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122121021012101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060510506060 + 61060510506061.

It is an arithmetic number, because the mean of its divisors is an integer number (61060510506061).

Almost surely, 2^{122121021012121} is an apocalyptic number.

It is an amenable number.

122121021012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121021012121 is an equidigital number, since it uses as much as digits as its factorization.

122121021012121 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 19.

Adding to 122121021012121 its reverse (121210120121221), we get a palindrome (243331141133342).

The spelling of 122121021012121 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-one million, twelve thousand, one hundred twenty-one".