122111243755201 has 2 divisors, whose sum is σ = 122111243755202. Its totient is φ = 122111243755200.

The previous prime is 122111243755141. The next prime is 122111243755217. The reversal of 122111243755201 is 102557342111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109256867665201 + 12854376090000 = 10452601^2 + 3585300^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111243755201 - 2¹¹ = 122111243753153 is a prime.

It is a super-2 number, since 2×122111243755201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122111243755801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055621877600 + 61055621877601.

It is an arithmetic number, because the mean of its divisors is an integer number (61055621877601).

Almost surely, 2^{122111243755201} is an apocalyptic number.

It is an amenable number.

122111243755201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111243755201 is an equidigital number, since it uses as much as digits as its factorization.

122111243755201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

Adding to 122111243755201 its reverse (102557342111221), we get a palindrome (224668585866422).

The spelling of 122111243755201 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred forty-three million, seven hundred fifty-five thousand, two hundred one".