122011110041 has 2 divisors, whose sum is σ = 122011110042. Its totient is φ = 122011110040.

The previous prime is 122011109999. The next prime is 122011110043. The reversal of 122011110041 is 140011110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112990099600 + 9021010441 = 336140^2 + 94979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122011110041 is a prime.

It is a super-2 number, since 2×122011110041² (a number of 23 digits) contains 22 as substring.

Together with 122011110043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122011109998 and 122011110025.

It is not a weakly prime, because it can be changed into another prime (122011110043) 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, 61005555020 + 61005555021.

It is an arithmetic number, because the mean of its divisors is an integer number (61005555021).

Almost surely, 2^122011110041 is an apocalyptic number.

It is an amenable number.

122011110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011110041 is an equidigital number, since it uses as much as digits as its factorization.

122011110041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122011110041 its reverse (140011110221), we get a palindrome (262022220262).

The spelling of 122011110041 in words is "one hundred twenty-two billion, eleven million, one hundred ten thousand, forty-one".