110111121020101 has 2 divisors, whose sum is σ = 110111121020102. Its totient is φ = 110111121020100.

The previous prime is 110111121020077. The next prime is 110111121020137. The reversal of 110111121020101 is 101020121111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104134391799876 + 5976729220225 = 10204626^2 + 2444735^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111121020101 - 2¹¹ = 110111121018053 is a prime.

It is a super-3 number, since 3×110111121020101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111121020801) 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, 55055560510050 + 55055560510051.

It is an arithmetic number, because the mean of its divisors is an integer number (55055560510051).

Almost surely, 2^{110111121020101} is an apocalyptic number.

It is an amenable number.

110111121020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111121020101 is an equidigital number, since it uses as much as digits as its factorization.

110111121020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110111121020101 its reverse (101020121111011), we get a palindrome (211131242131112).

The spelling of 110111121020101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty-one million, twenty thousand, one hundred one".