2102112322181 has 2 divisors, whose sum is σ = 2102112322182. Its totient is φ = 2102112322180.

The previous prime is 2102112322151. The next prime is 2102112322237. The reversal of 2102112322181 is 1812232112012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1739998428100 + 362113894081 = 1319090^2 + 601759^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102112322181 - 2¹⁰ = 2102112321157 is a prime.

It is a super-2 number, since 2×2102112322181² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102112322181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102112322151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051056161090 + 1051056161091.

It is an arithmetic number, because the mean of its divisors is an integer number (1051056161091).

Almost surely, 2^{2102112322181} is an apocalyptic number.

It is an amenable number.

2102112322181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102112322181 is an equidigital number, since it uses as much as digits as its factorization.

2102112322181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 2102112322181 its reverse (1812232112012), we get a palindrome (3914344434193).

The spelling of 2102112322181 in words is "two trillion, one hundred two billion, one hundred twelve million, three hundred twenty-two thousand, one hundred eighty-one".