1101000100181 has 2 divisors, whose sum is σ = 1101000100182. Its totient is φ = 1101000100180.

The previous prime is 1101000100171. The next prime is 1101000100219. The reversal of 1101000100181 is 1810010001011.

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., 718035916900 + 382964183281 = 847370^2 + 618841^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101000100181 - 2¹⁴ = 1101000083797 is a prime.

It is a super-2 number, since 2×1101000100181² (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 (1101000100171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500050090 + 550500050091.

It is an arithmetic number, because the mean of its divisors is an integer number (550500050091).

Almost surely, 2^{1101000100181} is an apocalyptic number.

It is an amenable number.

1101000100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101000100181 is an equidigital number, since it uses as much as digits as its factorization.

1101000100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1101000100181 its reverse (1810010001011), we get a palindrome (2911010101192).

The spelling of 1101000100181 in words is "one trillion, one hundred one billion, one hundred thousand, one hundred eighty-one".