110101200000101 has 2 divisors, whose sum is σ = 110101200000102. Its totient is φ = 110101200000100.

The previous prime is 110101200000061. The next prime is 110101200000151. The reversal of 110101200000101 is 101000002101011.

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., 88713303663076 + 21387896337025 = 9418774^2 + 4624705^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101200000101 - 2⁶ = 110101200000037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101200000151) 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, 55050600000050 + 55050600000051.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600000051).

Almost surely, 2^{110101200000101} is an apocalyptic number.

It is an amenable number.

110101200000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101200000101 is an equidigital number, since it uses as much as digits as its factorization.

110101200000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110101200000101 its reverse (101000002101011), we get a palindrome (211101202101112).

The spelling of 110101200000101 in words is "one hundred ten trillion, one hundred one billion, two hundred million, one hundred one", and thus it is an aban number.