10011102221101 has 2 divisors, whose sum is σ = 10011102221102. Its totient is φ = 10011102221100.

The previous prime is 10011102221083. The next prime is 10011102221161. The reversal of 10011102221101 is 10112220111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5056872065001 + 4954230156100 = 2248749^2 + 2225810^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011102221101 - 2⁵ = 10011102221069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011102221161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005551110550 + 5005551110551.

It is an arithmetic number, because the mean of its divisors is an integer number (5005551110551).

Almost surely, 2^{10011102221101} is an apocalyptic number.

It is an amenable number.

10011102221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011102221101 is an equidigital number, since it uses as much as digits as its factorization.

10011102221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011102221101 its reverse (10112220111001), we get a palindrome (20123322332102).

The spelling of 10011102221101 in words is "ten trillion, eleven billion, one hundred two million, two hundred twenty-one thousand, one hundred one".