122111021 has 2 divisors, whose sum is σ = 122111022. Its totient is φ = 122111020.

The previous prime is 122110987. The next prime is 122111023. The reversal of 122111021 is 120111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69388900 + 52722121 = 8330^2 + 7261^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111021 - 2⁶ = 122110957 is a prime.

It is a super-2 number, since 2×122111021² = 29822202899324882, which contains 22 as substring.

Together with 122111023, 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 = 122110993 and 122111011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055510 + 61055511.

It is an arithmetic number, because the mean of its divisors is an integer number (61055511).

Almost surely, 2^122111021 is an apocalyptic number.

It is an amenable number.

122111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111021 is an equidigital number, since it uses as much as digits as its factorization.

122111021 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 11.

The square root of 122111021 is about 11050.3855588844. The cubic root of 122111021 is about 496.1179656222.

Adding to 122111021 its reverse (120111221), we get a palindrome (242222242).

The spelling of 122111021 in words is "one hundred twenty-two million, one hundred eleven thousand, twenty-one".