110101122100201 has 2 divisors, whose sum is σ = 110101122100202. Its totient is φ = 110101122100200.

The previous prime is 110101122100181. The next prime is 110101122100231. The reversal of 110101122100201 is 102001221101011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63694780771801 + 46406341328400 = 7980901^2 + 6812220^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101122100201 - 2²⁵ = 110101088545769 is a prime.

It is a super-2 number, since 2×110101122100201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110101122100231) 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, 55050561050100 + 55050561050101.

It is an arithmetic number, because the mean of its divisors is an integer number (55050561050101).

Almost surely, 2^{110101122100201} is an apocalyptic number.

It is an amenable number.

110101122100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101122100201 is an equidigital number, since it uses as much as digits as its factorization.

110101122100201 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 110101122100201 its reverse (102001221101011), we get a palindrome (212102343201212).

The spelling of 110101122100201 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, two hundred one".