102111011222177 has 2 divisors, whose sum is σ = 102111011222178. Its totient is φ = 102111011222176.

The previous prime is 102111011222083. The next prime is 102111011222243. The reversal of 102111011222177 is 771222110111201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71761500518656 + 30349510703521 = 8471216^2 + 5509039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111011222177 is a prime.

It is a super-2 number, since 2×102111011222177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102111011222477) 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, 51055505611088 + 51055505611089.

It is an arithmetic number, because the mean of its divisors is an integer number (51055505611089).

Almost surely, 2^{102111011222177} is an apocalyptic number.

It is an amenable number.

102111011222177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111011222177 is an equidigital number, since it uses as much as digits as its factorization.

102111011222177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 29.

Adding to 102111011222177 its reverse (771222110111201), we get a palindrome (873333121333378).

The spelling of 102111011222177 in words is "one hundred two trillion, one hundred eleven billion, eleven million, two hundred twenty-two thousand, one hundred seventy-seven".