2011012110181 has 2 divisors, whose sum is σ = 2011012110182. Its totient is φ = 2011012110180.

The previous prime is 2011012110169. The next prime is 2011012110269. The reversal of 2011012110181 is 1810112101102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1395077525956 + 615934584225 = 1181134^2 + 784815^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011012110181 - 2¹⁵ = 2011012077413 is a prime.

It is a super-2 number, since 2×2011012110181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011012110131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005506055090 + 1005506055091.

It is an arithmetic number, because the mean of its divisors is an integer number (1005506055091).

Almost surely, 2^{2011012110181} is an apocalyptic number.

It is an amenable number.

2011012110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011012110181 is an equidigital number, since it uses as much as digits as its factorization.

2011012110181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 2011012110181 its reverse (1810112101102), we get a palindrome (3821124211283).

The spelling of 2011012110181 in words is "two trillion, eleven billion, twelve million, one hundred ten thousand, one hundred eighty-one".