102220100200177 has 2 divisors, whose sum is σ = 102220100200178. Its totient is φ = 102220100200176.

The previous prime is 102220100200019. The next prime is 102220100200241. The reversal of 102220100200177 is 771002001022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102164305508496 + 55794691681 = 10107636^2 + 236209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102220100200177 is a prime.

It is not a weakly prime, because it can be changed into another prime (102220100200877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110050100088 + 51110050100089.

It is an arithmetic number, because the mean of its divisors is an integer number (51110050100089).

Almost surely, 2^{102220100200177} is an apocalyptic number.

It is an amenable number.

102220100200177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220100200177 is an equidigital number, since it uses as much as digits as its factorization.

102220100200177 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 25.

Adding to 102220100200177 its reverse (771002001022201), we get a palindrome (873222101222378).

The spelling of 102220100200177 in words is "one hundred two trillion, two hundred twenty billion, one hundred million, two hundred thousand, one hundred seventy-seven".