110011102112201 has 2 divisors, whose sum is σ = 110011102112202. Its totient is φ = 110011102112200.

The previous prime is 110011102112179. The next prime is 110011102112221. The reversal of 110011102112201 is 102211201110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57740226492601 + 52270875619600 = 7598699^2 + 7229860^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011102112201 - 2³⁴ = 109993922243017 is a prime.

It is a super-2 number, since 2×110011102112201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110011102112221) 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, 55005551056100 + 55005551056101.

It is an arithmetic number, because the mean of its divisors is an integer number (55005551056101).

Almost surely, 2^{110011102112201} is an apocalyptic number.

It is an amenable number.

110011102112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011102112201 is an equidigital number, since it uses as much as digits as its factorization.

110011102112201 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 14.

Adding to 110011102112201 its reverse (102211201110011), we get a palindrome (212222303222212).

The spelling of 110011102112201 in words is "one hundred ten trillion, eleven billion, one hundred two million, one hundred twelve thousand, two hundred one".