110012110220101 has 2 divisors, whose sum is σ = 110012110220102. Its totient is φ = 110012110220100.

The previous prime is 110012110220071. The next prime is 110012110220113. The reversal of 110012110220101 is 101022011210011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89200941390625 + 20811168829476 = 9444625^2 + 4561926^2 .

It is a cyclic number.

It is not a de Polignac number, because 110012110220101 - 2¹¹ = 110012110218053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110012110229101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55006055110050 + 55006055110051.

It is an arithmetic number, because the mean of its divisors is an integer number (55006055110051).

Almost surely, 2^{110012110220101} is an apocalyptic number.

It is an amenable number.

110012110220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110012110220101 is an equidigital number, since it uses as much as digits as its factorization.

110012110220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110012110220101 its reverse (101022011210011), we get a palindrome (211034121430112).

The spelling of 110012110220101 in words is "one hundred ten trillion, twelve billion, one hundred ten million, two hundred twenty thousand, one hundred one".