122102122002121 has 2 divisors, whose sum is σ = 122102122002122. Its totient is φ = 122102122002120.

The previous prime is 122102122002109. The next prime is 122102122002139. The reversal of 122102122002121 is 121200221201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110624011662025 + 11478110340096 = 10517795^2 + 3387936^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102122002121 - 2²¹ = 122102119904969 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102122002821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051061001060 + 61051061001061.

It is an arithmetic number, because the mean of its divisors is an integer number (61051061001061).

Almost surely, 2^{122102122002121} is an apocalyptic number.

It is an amenable number.

122102122002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102122002121 is an equidigital number, since it uses as much as digits as its factorization.

122102122002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122102122002121 its reverse (121200221201221), we get a palindrome (243302343203342).

The spelling of 122102122002121 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two million, two thousand, one hundred twenty-one".