10010101202173 has 2 divisors, whose sum is σ = 10010101202174. Its totient is φ = 10010101202172.

The previous prime is 10010101202161. The next prime is 10010101202197. The reversal of 10010101202173 is 37120210101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7670002853529 + 2340098348644 = 2769477^2 + 1529738^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101202173 - 2¹⁷ = 10010101071101 is a prime.

It is a super-3 number, since 3×10010101202173³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10010101202173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010101202113) 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, 5005050601086 + 5005050601087.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050601087).

Almost surely, 2^{10010101202173} is an apocalyptic number.

It is an amenable number.

10010101202173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101202173 is an equidigital number, since it uses as much as digits as its factorization.

10010101202173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10010101202173 its reverse (37120210101001), we get a palindrome (47130311303174).

The spelling of 10010101202173 in words is "ten trillion, ten billion, one hundred one million, two hundred two thousand, one hundred seventy-three".