102122012101177 has 2 divisors, whose sum is σ = 102122012101178. Its totient is φ = 102122012101176.

The previous prime is 102122012101127. The next prime is 102122012101253. The reversal of 102122012101177 is 771101210221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98208020720016 + 3913991381161 = 9909996^2 + 1978381^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122012101177 - 2⁷ = 102122012101049 is a prime.

It is not a weakly prime, because it can be changed into another prime (102122012101117) 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, 51061006050588 + 51061006050589.

It is an arithmetic number, because the mean of its divisors is an integer number (51061006050589).

Almost surely, 2^{102122012101177} is an apocalyptic number.

It is an amenable number.

102122012101177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122012101177 is an equidigital number, since it uses as much as digits as its factorization.

102122012101177 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 28.

Adding to 102122012101177 its reverse (771101210221201), we get a palindrome (873223222322378).

The spelling of 102122012101177 in words is "one hundred two trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred seventy-seven".