100022100111161 has 2 divisors, whose sum is σ = 100022100111162. Its totient is φ = 100022100111160.

The previous prime is 100022100111083. The next prime is 100022100111163. The reversal of 100022100111161 is 161111001220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99633137089600 + 388963021561 = 9981640^2 + 623669^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022100111161 - 2¹⁸ = 100022099849017 is a prime.

It is a super-2 number, since 2×100022100111161² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 100022100111163, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100022100111163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011050055580 + 50011050055581.

It is an arithmetic number, because the mean of its divisors is an integer number (50011050055581).

Almost surely, 2^{100022100111161} is an apocalyptic number.

It is an amenable number.

100022100111161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022100111161 is an equidigital number, since it uses as much as digits as its factorization.

100022100111161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100022100111161 its reverse (161111001220001), we get a palindrome (261133101331162).

The spelling of 100022100111161 in words is "one hundred trillion, twenty-two billion, one hundred million, one hundred eleven thousand, one hundred sixty-one".