122201220110261 has 2 divisors, whose sum is σ = 122201220110262. Its totient is φ = 122201220110260.

The previous prime is 122201220110201. The next prime is 122201220110353. The reversal of 122201220110261 is 162011022102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97286048030161 + 24915172080100 = 9863369^2 + 4991510^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201220110261 - 2¹⁸ = 122201219848117 is a prime.

It is a super-4 number, since 4×122201220110261⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122201220110201) 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, 61100610055130 + 61100610055131.

It is an arithmetic number, because the mean of its divisors is an integer number (61100610055131).

Almost surely, 2^{122201220110261} is an apocalyptic number.

It is an amenable number.

122201220110261 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201220110261 is an equidigital number, since it uses as much as digits as its factorization.

122201220110261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 122201220110261 its reverse (162011022102221), we get a palindrome (284212242212482).

The spelling of 122201220110261 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty million, one hundred ten thousand, two hundred sixty-one".