122122011012121 has 2 divisors, whose sum is σ = 122122011012122. Its totient is φ = 122122011012120.

The previous prime is 122122011012109. The next prime is 122122011012179. The reversal of 122122011012121 is 121210110221221.

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., 111617534606400 + 10504476405721 = 10564920^2 + 3241061^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122011012121 - 2⁷ = 122122011011993 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122011019121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061005506060 + 61061005506061.

It is an arithmetic number, because the mean of its divisors is an integer number (61061005506061).

Almost surely, 2^{122122011012121} is an apocalyptic number.

It is an amenable number.

122122011012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122011012121 is an equidigital number, since it uses as much as digits as its factorization.

122122011012121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122122011012121 its reverse (121210110221221), we get a palindrome (243332121233342).

The spelling of 122122011012121 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, eleven million, twelve thousand, one hundred twenty-one".