100211111011181 has 2 divisors, whose sum is σ = 100211111011182. Its totient is φ = 100211111011180.

The previous prime is 100211111011157. The next prime is 100211111011237. The reversal of 100211111011181 is 181110111112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73415062291081 + 26796048720100 = 8568259^2 + 5176490^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211111011181 - 2³⁰ = 100210037269357 is a prime.

It is a super-2 number, since 2×100211111011181² (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 (100211111001181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105555505590 + 50105555505591.

It is an arithmetic number, because the mean of its divisors is an integer number (50105555505591).

Almost surely, 2^{100211111011181} is an apocalyptic number.

It is an amenable number.

100211111011181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211111011181 is an equidigital number, since it uses as much as digits as its factorization.

100211111011181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 20.

Adding to 100211111011181 its reverse (181110111112001), we get a palindrome (281321222123182).

The spelling of 100211111011181 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, eleven thousand, one hundred eighty-one".