110101100101073 has 2 divisors, whose sum is σ = 110101100101074. Its totient is φ = 110101100101072.

The previous prime is 110101100101051. The next prime is 110101100101081. The reversal of 110101100101073 is 370101001101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85696640533504 + 24404459567569 = 9257248^2 + 4940087^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101100101073 - 2³⁰ = 110100026359249 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101100101033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550050536 + 55050550050537.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550050537).

Almost surely, 2^{110101100101073} is an apocalyptic number.

It is an amenable number.

110101100101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100101073 is an equidigital number, since it uses as much as digits as its factorization.

110101100101073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 110101100101073 its reverse (370101001101011), we get a palindrome (480202101202084).

The spelling of 110101100101073 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred one thousand, seventy-three".