101101001010181 has 2 divisors, whose sum is σ = 101101001010182. Its totient is φ = 101101001010180.

The previous prime is 101101001010169. The next prime is 101101001010203. The reversal of 101101001010181 is 181010100101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77452144476100 + 23648856534081 = 8800690^2 + 4863009^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101001010181 - 2³¹ = 101098853526533 is a prime.

It is a super-2 number, since 2×101101001010181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101001010881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500505090 + 50550500505091.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500505091).

Almost surely, 2^{101101001010181} is an apocalyptic number.

It is an amenable number.

101101001010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001010181 is an equidigital number, since it uses as much as digits as its factorization.

101101001010181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101101001010181 its reverse (181010100101101), we get a palindrome (282111101111282).

The spelling of 101101001010181 in words is "one hundred one trillion, one hundred one billion, one million, ten thousand, one hundred eighty-one".