10000011100181 has 2 divisors, whose sum is σ = 10000011100182. Its totient is φ = 10000011100180.

The previous prime is 10000011100151. The next prime is 10000011100229. The reversal of 10000011100181 is 18100111000001.

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., 7103237736100 + 2896773364081 = 2665190^2 + 1701991^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000011100181 - 2²² = 10000006905877 is a prime.

It is a super-2 number, since 2×10000011100181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000011100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000005550090 + 5000005550091.

It is an arithmetic number, because the mean of its divisors is an integer number (5000005550091).

Almost surely, 2^{10000011100181} is an apocalyptic number.

It is an amenable number.

10000011100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000011100181 is an equidigital number, since it uses as much as digits as its factorization.

10000011100181 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 10000011100181 its reverse (18100111000001), we get a palindrome (28100122100182).

The spelling of 10000011100181 in words is "ten trillion, eleven million, one hundred thousand, one hundred eighty-one".