102102210102173 has 2 divisors, whose sum is σ = 102102210102174. Its totient is φ = 102102210102172.

The previous prime is 102102210102127. The next prime is 102102210102223. The reversal of 102102210102173 is 371201012201201.

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., 99219967090084 + 2882243012089 = 9960922^2 + 1697717^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102210102173 - 2²⁶ = 102102142993309 is a prime.

It is a super-2 number, since 2×102102210102173² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102210102773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051105051086 + 51051105051087.

It is an arithmetic number, because the mean of its divisors is an integer number (51051105051087).

Almost surely, 2^{102102210102173} is an apocalyptic number.

It is an amenable number.

102102210102173 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102210102173 is an equidigital number, since it uses as much as digits as its factorization.

102102210102173 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 102102210102173 its reverse (371201012201201), we get a palindrome (473303222303374).

The spelling of 102102210102173 in words is "one hundred two trillion, one hundred two billion, two hundred ten million, one hundred two thousand, one hundred seventy-three".