102112100022173 has 2 divisors, whose sum is σ = 102112100022174. Its totient is φ = 102112100022172.

The previous prime is 102112100022151. The next prime is 102112100022217. The reversal of 102112100022173 is 371220001211201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92251357029049 + 9860742993124 = 9604757^2 + 3140182^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112100022173 - 2¹⁶ = 102112099956637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112100022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050011086 + 51056050011087.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050011087).

Almost surely, 2^{102112100022173} is an apocalyptic number.

It is an amenable number.

102112100022173 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112100022173 is an equidigital number, since it uses as much as digits as its factorization.

102112100022173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 102112100022173 its reverse (371220001211201), we get a palindrome (473332101233374).

The spelling of 102112100022173 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, twenty-two thousand, one hundred seventy-three".