122111221009873 has 2 divisors, whose sum is σ = 122111221009874. Its totient is φ = 122111221009872.

The previous prime is 122111221009867. The next prime is 122111221009907. The reversal of 122111221009873 is 378900122111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94641221770384 + 27469999239489 = 9728372^2 + 5241183^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111221009873 - 2¹³ = 122111221001681 is a prime.

It is a super-3 number, since 3×122111221009873³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (122111221001873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055610504936 + 61055610504937.

It is an arithmetic number, because the mean of its divisors is an integer number (61055610504937).

Almost surely, 2^{122111221009873} is an apocalyptic number.

It is an amenable number.

122111221009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111221009873 is an equidigital number, since it uses as much as digits as its factorization.

122111221009873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 122111221009873 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, nine thousand, eight hundred seventy-three".