10111000100221 has 2 divisors, whose sum is σ = 10111000100222. Its totient is φ = 10111000100220.

The previous prime is 10111000100203. The next prime is 10111000100237. The reversal of 10111000100221 is 12200100011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7861042100025 + 2249958000196 = 2803755^2 + 1499986^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111000100221 - 2¹³ = 10111000092029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111000100198 and 10111000100207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111000100291) 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, 5055500050110 + 5055500050111.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500050111).

Almost surely, 2^{10111000100221} is an apocalyptic number.

It is an amenable number.

10111000100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111000100221 is an equidigital number, since it uses as much as digits as its factorization.

10111000100221 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 10111000100221 its reverse (12200100011101), we get a palindrome (22311100111322).

The spelling of 10111000100221 in words is "ten trillion, one hundred eleven billion, one hundred thousand, two hundred twenty-one".