102122100220277 has 2 divisors, whose sum is σ = 102122100220278. Its totient is φ = 102122100220276.

The previous prime is 102122100220157. The next prime is 102122100220297. The reversal of 102122100220277 is 772022001221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65586252949156 + 36535847271121 = 8098534^2 + 6044489^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122100220277 - 2¹⁰ = 102122100219253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122100220297) 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, 51061050110138 + 51061050110139.

It is an arithmetic number, because the mean of its divisors is an integer number (51061050110139).

Almost surely, 2^{102122100220277} is an apocalyptic number.

It is an amenable number.

102122100220277 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122100220277 is an equidigital number, since it uses as much as digits as its factorization.

102122100220277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 29.

Adding to 102122100220277 its reverse (772022001221201), we get a palindrome (874144101441478).

The spelling of 102122100220277 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, two hundred seventy-seven".