102112000020181 has 2 divisors, whose sum is σ = 102112000020182. Its totient is φ = 102112000020180.

The previous prime is 102112000020179. The next prime is 102112000020229. The reversal of 102112000020181 is 181020000211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94222451580625 + 7889548439556 = 9706825^2 + 2808834^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112000020181 - 2¹ = 102112000020179 is a prime.

It is a super-2 number, since 2×102112000020181² (a number of 29 digits) contains 22 as substring.

Together with 102112000020179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112000020881) 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, 51056000010090 + 51056000010091.

It is an arithmetic number, because the mean of its divisors is an integer number (51056000010091).

Almost surely, 2^{102112000020181} is an apocalyptic number.

It is an amenable number.

102112000020181 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112000020181 is an equidigital number, since it uses as much as digits as its factorization.

102112000020181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102112000020181 its reverse (181020000211201), we get a palindrome (283132000231382).

The spelling of 102112000020181 in words is "one hundred two trillion, one hundred twelve billion, twenty thousand, one hundred eighty-one".