10002120122173 has 2 divisors, whose sum is σ = 10002120122174. Its totient is φ = 10002120122172.

The previous prime is 10002120122167. The next prime is 10002120122221. The reversal of 10002120122173 is 37122102120001.

10002120122173 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7713489718489 + 2288630403684 = 2777317^2 + 1512822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002120122173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002120129173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060061086 + 5001060061087.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060061087).

Almost surely, 2^{10002120122173} is an apocalyptic number.

It is an amenable number.

10002120122173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120122173 is an equidigital number, since it uses as much as digits as its factorization.

10002120122173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10002120122173 its reverse (37122102120001), we get a palindrome (47124222242174).

The spelling of 10002120122173 in words is "ten trillion, two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred seventy-three".