100102200002177 has 2 divisors, whose sum is σ = 100102200002178. Its totient is φ = 100102200002176.

The previous prime is 100102200002173. The next prime is 100102200002201. The reversal of 100102200002177 is 771200002201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93895305421681 + 6206894580496 = 9689959^2 + 2491364^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102200002177 - 2² = 100102200002173 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102200002173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051100001088 + 50051100001089.

It is an arithmetic number, because the mean of its divisors is an integer number (50051100001089).

Almost surely, 2^{100102200002177} is an apocalyptic number.

It is an amenable number.

100102200002177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102200002177 is an equidigital number, since it uses as much as digits as its factorization.

100102200002177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 100102200002177 its reverse (771200002201001), we get a palindrome (871302202203178).

The spelling of 100102200002177 in words is "one hundred trillion, one hundred two billion, two hundred million, two thousand, one hundred seventy-seven".