21111100102241 has 2 divisors, whose sum is σ = 21111100102242. Its totient is φ = 21111100102240.

The previous prime is 21111100102199. The next prime is 21111100102259. The reversal of 21111100102241 is 14220100111112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20967057840400 + 144042261841 = 4578980^2 + 379529^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111100102241 - 2⁶ = 21111100102177 is a prime.

It is not a weakly prime, because it can be changed into another prime (21111100102271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555550051120 + 10555550051121.

It is an arithmetic number, because the mean of its divisors is an integer number (10555550051121).

Almost surely, 2^{21111100102241} is an apocalyptic number.

It is an amenable number.

21111100102241 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111100102241 is an equidigital number, since it uses as much as digits as its factorization.

21111100102241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21111100102241 its reverse (14220100111112), we get a palindrome (35331200213353).

The spelling of 21111100102241 in words is "twenty-one trillion, one hundred eleven billion, one hundred million, one hundred two thousand, two hundred forty-one".