101101101101173 has 2 divisors, whose sum is σ = 101101101101174. Its totient is φ = 101101101101172.

The previous prime is 101101101101087. The next prime is 101101101101177. The reversal of 101101101101173 is 371101101101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61314803962129 + 39786297139044 = 7830377^2 + 6307638^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101101101173 - 2⁹ = 101101101100661 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101101101173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101101101177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550550586 + 50550550550587.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550550587).

Almost surely, 2^{101101101101173} is an apocalyptic number.

It is an amenable number.

101101101101173 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101101101173 is an equidigital number, since it uses as much as digits as its factorization.

101101101101173 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 19.

Adding to 101101101101173 its reverse (371101101101101), we get a palindrome (472202202202274).

The spelling of 101101101101173 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred seventy-three".