110101122101 has 2 divisors, whose sum is σ = 110101122102. Its totient is φ = 110101122100.

The previous prime is 110101122091. The next prime is 110101122113. The reversal of 110101122101 is 101221101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93914667025 + 16186455076 = 306455^2 + 127226^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101122101 - 2²⁶ = 110034013237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101122121) 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, 55050561050 + 55050561051.

It is an arithmetic number, because the mean of its divisors is an integer number (55050561051).

Almost surely, 2^110101122101 is an apocalyptic number.

It is an amenable number.

110101122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101122101 is an equidigital number, since it uses as much as digits as its factorization.

110101122101 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 11.

Adding to 110101122101 its reverse (101221101011), we get a palindrome (211322223112).

The spelling of 110101122101 in words is "one hundred ten billion, one hundred one million, one hundred twenty-two thousand, one hundred one".