101110110100073 has 2 divisors, whose sum is σ = 101110110100074. Its totient is φ = 101110110100072.

The previous prime is 101110110099991. The next prime is 101110110100121. The reversal of 101110110100073 is 370001011011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100890835180249 + 219274919824 = 10044443^2 + 468268^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110110100073 - 2²⁴ = 101110093322857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110110100273) 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, 50555055050036 + 50555055050037.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055050037).

Almost surely, 2^{101110110100073} is an apocalyptic number.

It is an amenable number.

101110110100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110100073 is an equidigital number, since it uses as much as digits as its factorization.

101110110100073 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101110110100073 its reverse (370001011011101), we get a palindrome (471111121111174).

The spelling of 101110110100073 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred thousand, seventy-three".