111011122101601 has 2 divisors, whose sum is σ = 111011122101602. Its totient is φ = 111011122101600.

The previous prime is 111011122101599. The next prime is 111011122101631. The reversal of 111011122101601 is 106101221110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110583648047376 + 427474054225 = 10515876^2 + 653815^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011122101601 - 2¹ = 111011122101599 is a prime.

Together with 111011122101599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (111011122101631) 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, 55505561050800 + 55505561050801.

It is an arithmetic number, because the mean of its divisors is an integer number (55505561050801).

Almost surely, 2^{111011122101601} is an apocalyptic number.

It is an amenable number.

111011122101601 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011122101601 is an equidigital number, since it uses as much as digits as its factorization.

111011122101601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 111011122101601 its reverse (106101221110111), we get a palindrome (217112343211712).

The spelling of 111011122101601 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, six hundred one".