110110200200129 has 2 divisors, whose sum is σ = 110110200200130. Its totient is φ = 110110200200128.

The previous prime is 110110200200111. The next prime is 110110200200131. The reversal of 110110200200129 is 921002002011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76902376360000 + 33207823840129 = 8769400^2 + 5762623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110200200129 is a prime.

It is a super-2 number, since 2×110110200200129² (a number of 29 digits) contains 22 as substring.

Together with 110110200200131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110110200200129.

It is not a weakly prime, because it can be changed into another prime (110110200200149) 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, 55055100100064 + 55055100100065.

It is an arithmetic number, because the mean of its divisors is an integer number (55055100100065).

Almost surely, 2^{110110200200129} is an apocalyptic number.

It is an amenable number.

110110200200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110200200129 is an equidigital number, since it uses as much as digits as its factorization.

110110200200129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 110110200200129 in words is "one hundred ten trillion, one hundred ten billion, two hundred million, two hundred thousand, one hundred twenty-nine".