100100011191181 has 2 divisors, whose sum is σ = 100100011191182. Its totient is φ = 100100011191180.

The previous prime is 100100011191151. The next prime is 100100011191197. The reversal of 100100011191181 is 181191110001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94510167629956 + 5589843561225 = 9721634^2 + 2364285^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100011191181 - 2¹³ = 100100011182989 is a prime.

It is a super-2 number, since 2×100100011191181² (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 (100100011191101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005595590 + 50050005595591.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005595591).

Almost surely, 2^{100100011191181} is an apocalyptic number.

It is an amenable number.

100100011191181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011191181 is an equidigital number, since it uses as much as digits as its factorization.

100100011191181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 25.

Adding to 100100011191181 its reverse (181191110001001), we get a palindrome (281291121192182).

The spelling of 100100011191181 in words is "one hundred trillion, one hundred billion, eleven million, one hundred ninety-one thousand, one hundred eighty-one".