110101201100129 has 2 divisors, whose sum is σ = 110101201100130. Its totient is φ = 110101201100128.

The previous prime is 110101201100113. The next prime is 110101201100171. The reversal of 110101201100129 is 921001102101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99218492879104 + 10882708221025 = 9960848^2 + 3298895^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101201100129 - 2⁴ = 110101201100113 is a prime.

It is a super-3 number, since 3×110101201100129³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110101201100129.

It is not a weakly prime, because it can be changed into another prime (110101201100329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050600550064 + 55050600550065.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600550065).

Almost surely, 2^{110101201100129} is an apocalyptic number.

It is an amenable number.

110101201100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101201100129 is an equidigital number, since it uses as much as digits as its factorization.

110101201100129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 110101201100129 in words is "one hundred ten trillion, one hundred one billion, two hundred one million, one hundred thousand, one hundred twenty-nine".