10101111101173 has 2 divisors, whose sum is σ = 10101111101174. Its totient is φ = 10101111101172.

The previous prime is 10101111101093. The next prime is 10101111101183. The reversal of 10101111101173 is 37110111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9355266415044 + 745844686129 = 3058638^2 + 863623^2 .

It is an emirp because it is prime and its reverse (37110111110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101111101173 - 2²⁹ = 10100574230261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101111101173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111101183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555550586 + 5050555550587.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555550587).

Almost surely, 2^{10101111101173} is an apocalyptic number.

It is an amenable number.

10101111101173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111101173 is an equidigital number, since it uses as much as digits as its factorization.

10101111101173 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 19.

Adding to 10101111101173 its reverse (37110111110101), we get a palindrome (47211222211274).

The spelling of 10101111101173 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred seventy-three".