1012112011181 has 2 divisors, whose sum is σ = 1012112011182. Its totient is φ = 1012112011180.

The previous prime is 1012112011171. The next prime is 1012112011241. The reversal of 1012112011181 is 1811102112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 538706089156 + 473405922025 = 733966^2 + 688045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012112011181 is a prime.

It is a super-3 number, since 3×1012112011181³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012112011111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506056005590 + 506056005591.

It is an arithmetic number, because the mean of its divisors is an integer number (506056005591).

Almost surely, 2^{1012112011181} is an apocalyptic number.

It is an amenable number.

1012112011181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012112011181 is an equidigital number, since it uses as much as digits as its factorization.

1012112011181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 1012112011181 its reverse (1811102112101), we get a palindrome (2823214123282).

The spelling of 1012112011181 in words is "one trillion, twelve billion, one hundred twelve million, eleven thousand, one hundred eighty-one".