100221110081 has 2 divisors, whose sum is σ = 100221110082. Its totient is φ = 100221110080.

The previous prime is 100221110069. The next prime is 100221110141. The reversal of 100221110081 is 180011122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62552511025 + 37668599056 = 250105^2 + 194084^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221110081 - 2³⁴ = 83041240897 is a prime.

It is a super-2 number, since 2×100221110081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100221110051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110555040 + 50110555041.

It is an arithmetic number, because the mean of its divisors is an integer number (50110555041).

Almost surely, 2^100221110081 is an apocalyptic number.

It is an amenable number.

100221110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221110081 is an equidigital number, since it uses as much as digits as its factorization.

100221110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100221110081 its reverse (180011122001), we get a palindrome (280232232082).

The spelling of 100221110081 in words is "one hundred billion, two hundred twenty-one million, one hundred ten thousand, eighty-one".