102000002110177 has 2 divisors, whose sum is σ = 102000002110178. Its totient is φ = 102000002110176.

The previous prime is 102000002110151. The next prime is 102000002110187. The reversal of 102000002110177 is 771011200000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54654098051281 + 47345904058896 = 7392841^2 + 6880836^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000002110177 - 2¹¹ = 102000002108129 is a prime.

It is a super-2 number, since 2×102000002110177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102000002110187) 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, 51000001055088 + 51000001055089.

It is an arithmetic number, because the mean of its divisors is an integer number (51000001055089).

Almost surely, 2^{102000002110177} is an apocalyptic number.

It is an amenable number.

102000002110177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000002110177 is an equidigital number, since it uses as much as digits as its factorization.

102000002110177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 22.

Adding to 102000002110177 its reverse (771011200000201), we get a palindrome (873011202110378).

The spelling of 102000002110177 in words is "one hundred two trillion, two million, one hundred ten thousand, one hundred seventy-seven".