100110221220013 has 2 divisors, whose sum is σ = 100110221220014. Its totient is φ = 100110221220012.

The previous prime is 100110221219993. The next prime is 100110221220019. The reversal of 100110221220013 is 310022122011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67959529475049 + 32150691744964 = 8243757^2 + 5670158^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110221220013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110221220019) 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, 50055110610006 + 50055110610007.

It is an arithmetic number, because the mean of its divisors is an integer number (50055110610007).

Almost surely, 2^{100110221220013} is an apocalyptic number.

It is an amenable number.

100110221220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110221220013 is an equidigital number, since it uses as much as digits as its factorization.

100110221220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100110221220013 its reverse (310022122011001), we get a palindrome (410132343231014).

The spelling of 100110221220013 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, two hundred twenty thousand, thirteen".