102112221002177 has 2 divisors, whose sum is σ = 102112221002178. Its totient is φ = 102112221002176.

The previous prime is 102112221002041. The next prime is 102112221002179. The reversal of 102112221002177 is 771200122211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57408140697856 + 44704080304321 = 7576816^2 + 6686111^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112221002177 - 2¹⁶ = 102112220936641 is a prime.

It is a super-3 number, since 3×102112221002177³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 102112221002179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102112221002179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056110501088 + 51056110501089.

It is an arithmetic number, because the mean of its divisors is an integer number (51056110501089).

Almost surely, 2^{102112221002177} is an apocalyptic number.

It is an amenable number.

102112221002177 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112221002177 is an equidigital number, since it uses as much as digits as its factorization.

102112221002177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 29.

Adding to 102112221002177 its reverse (771200122211201), we get a palindrome (873312343213378).

The spelling of 102112221002177 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, one hundred seventy-seven".