120122111022521 has 2 divisors, whose sum is σ = 120122111022522. Its totient is φ = 120122111022520.

The previous prime is 120122111022413. The next prime is 120122111022523. The reversal of 120122111022521 is 125220111221021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103061378167225 + 17060732855296 = 10151915^2 + 4130464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120122111022521 is a prime.

It is a super-2 number, since 2×120122111022521² (a number of 29 digits) contains 22 as substring.

Together with 120122111022523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (120122111022523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60061055511260 + 60061055511261.

It is an arithmetic number, because the mean of its divisors is an integer number (60061055511261).

Almost surely, 2^{120122111022521} is an apocalyptic number.

It is an amenable number.

120122111022521 is a deficient number, since it is larger than the sum of its proper divisors (1).

120122111022521 is an equidigital number, since it uses as much as digits as its factorization.

120122111022521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 23.

Adding to 120122111022521 its reverse (125220111221021), we get a palindrome (245342222243542).

The spelling of 120122111022521 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, five hundred twenty-one".