100011102221981 has 2 divisors, whose sum is σ = 100011102221982. Its totient is φ = 100011102221980.

The previous prime is 100011102221939. The next prime is 100011102222007. The reversal of 100011102221981 is 189122201110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76834253215225 + 23176849006756 = 8765515^2 + 4814234^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011102221981 - 2⁴² = 95613055710877 is a prime.

It is a super-2 number, since 2×100011102221981² (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 (100011102271981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005551110990 + 50005551110991.

It is an arithmetic number, because the mean of its divisors is an integer number (50005551110991).

Almost surely, 2^{100011102221981} is an apocalyptic number.

It is an amenable number.

100011102221981 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011102221981 is an equidigital number, since it uses as much as digits as its factorization.

100011102221981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

Adding to 100011102221981 its reverse (189122201110001), we get a palindrome (289133303331982).

The spelling of 100011102221981 in words is "one hundred trillion, eleven billion, one hundred two million, two hundred twenty-one thousand, nine hundred eighty-one".