10101110000221 has 2 divisors, whose sum is σ = 10101110000222. Its totient is φ = 10101110000220.

The previous prime is 10101110000083. The next prime is 10101110000239. The reversal of 10101110000221 is 12200001110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7434620222500 + 2666489777721 = 2726650^2 + 1632939^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101110000221 - 2¹⁵ = 10101109967453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101110000198 and 10101110000207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101110000921) 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, 5050555000110 + 5050555000111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555000111).

Almost surely, 2^{10101110000221} is an apocalyptic number.

It is an amenable number.

10101110000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101110000221 is an equidigital number, since it uses as much as digits as its factorization.

10101110000221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101110000221 its reverse (12200001110101), we get a palindrome (22301111110322).

The spelling of 10101110000221 in words is "ten trillion, one hundred one billion, one hundred ten million, two hundred twenty-one", and thus it is an aban number.