100101100212181 has 2 divisors, whose sum is σ = 100101100212182. Its totient is φ = 100101100212180.

The previous prime is 100101100212173. The next prime is 100101100212259. The reversal of 100101100212181 is 181212001101001.

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., 67029687111556 + 33071413100625 = 8187166^2 + 5750775^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100212181 - 2³ = 100101100212173 is a prime.

It is a super-2 number, since 2×100101100212181² (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 (100101100212481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550106090 + 50050550106091.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550106091).

Almost surely, 2^{100101100212181} is an apocalyptic number.

It is an amenable number.

100101100212181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100212181 is an equidigital number, since it uses as much as digits as its factorization.

100101100212181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 100101100212181 its reverse (181212001101001), we get a palindrome (281313101313182).

The spelling of 100101100212181 in words is "one hundred trillion, one hundred one billion, one hundred million, two hundred twelve thousand, one hundred eighty-one".