100102012200173 has 2 divisors, whose sum is σ = 100102012200174. Its totient is φ = 100102012200172.

The previous prime is 100102012200143. The next prime is 100102012200217. The reversal of 100102012200173 is 371002210201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68888638806724 + 31213373393449 = 8299918^2 + 5586893^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102012200173 - 2¹⁸ = 100102011938029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102012200143) 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, 50051006100086 + 50051006100087.

It is an arithmetic number, because the mean of its divisors is an integer number (50051006100087).

Almost surely, 2^{100102012200173} is an apocalyptic number.

It is an amenable number.

100102012200173 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102012200173 is an equidigital number, since it uses as much as digits as its factorization.

100102012200173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 100102012200173 its reverse (371002210201001), we get a palindrome (471104222401174).

The spelling of 100102012200173 in words is "one hundred trillion, one hundred two billion, twelve million, two hundred thousand, one hundred seventy-three".