122111300321 has 2 divisors, whose sum is σ = 122111300322. Its totient is φ = 122111300320.

The previous prime is 122111300291. The next prime is 122111300341. The reversal of 122111300321 is 123003111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122069878225 + 41422096 = 349385^2 + 6436^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111300321 - 2¹⁴ = 122111283937 is a prime.

It is a super-2 number, since 2×122111300321² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122111300321.

It is not a weakly prime, because it can be changed into another prime (122111300341) 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, 61055650160 + 61055650161.

It is an arithmetic number, because the mean of its divisors is an integer number (61055650161).

Almost surely, 2^122111300321 is an apocalyptic number.

It is an amenable number.

122111300321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111300321 is an equidigital number, since it uses as much as digits as its factorization.

122111300321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122111300321 its reverse (123003111221), we get a palindrome (245114411542).

The spelling of 122111300321 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred thousand, three hundred twenty-one".