10100222112221 has 2 divisors, whose sum is σ = 10100222112222. Its totient is φ = 10100222112220.

The previous prime is 10100222112199. The next prime is 10100222112247. The reversal of 10100222112221 is 12221122200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7531670983321 + 2568551128900 = 2744389^2 + 1602670^2 .

It is an emirp because it is prime and its reverse (12221122200101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100222112221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100222112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100222112521) 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, 5050111056110 + 5050111056111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050111056111).

Almost surely, 2^{10100222112221} is an apocalyptic number.

It is an amenable number.

10100222112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100222112221 is an equidigital number, since it uses as much as digits as its factorization.

10100222112221 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 10100222112221 its reverse (12221122200101), we get a palindrome (22321344312322).

The spelling of 10100222112221 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".