21000110012249 has 2 divisors, whose sum is σ = 21000110012250. Its totient is φ = 21000110012248.

The previous prime is 21000110012237. The next prime is 21000110012261. The reversal of 21000110012249 is 94221001100012.

It is a balanced prime because it is at equal distance from previous prime (21000110012237) and next prime (21000110012261).

It can be written as a sum of positive squares in only one way, i.e., 20762056771600 + 238053240649 = 4556540^2 + 487907^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000110012249 - 2⁴⁰ = 19900598384473 is a prime.

It is not a weakly prime, because it can be changed into another prime (21000110012279) 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, 10500055006124 + 10500055006125.

It is an arithmetic number, because the mean of its divisors is an integer number (10500055006125).

Almost surely, 2^{21000110012249} is an apocalyptic number.

It is an amenable number.

21000110012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000110012249 is an equidigital number, since it uses as much as digits as its factorization.

21000110012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 21000110012249 in words is "twenty-one trillion, one hundred ten million, twelve thousand, two hundred forty-nine".