100110202221041 has 2 divisors, whose sum is σ = 100110202221042. Its totient is φ = 100110202221040.

The previous prime is 100110202220947. The next prime is 100110202221059. The reversal of 100110202221041 is 140122202011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87281913865441 + 12828288355600 = 9342479^2 + 3581660^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110202221041 - 2³⁴ = 100093022351857 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100110202521041) 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, 50055101110520 + 50055101110521.

It is an arithmetic number, because the mean of its divisors is an integer number (50055101110521).

Almost surely, 2^{100110202221041} is an apocalyptic number.

It is an amenable number.

100110202221041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110202221041 is an equidigital number, since it uses as much as digits as its factorization.

100110202221041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100110202221041 its reverse (140122202011001), we get a palindrome (240232404232042).

The spelling of 100110202221041 in words is "one hundred trillion, one hundred ten billion, two hundred two million, two hundred twenty-one thousand, forty-one".