21211000012249 has 2 divisors, whose sum is σ = 21211000012250. Its totient is φ = 21211000012248.

The previous prime is 21211000012141. The next prime is 21211000012259. The reversal of 21211000012249 is 94221000011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18519208526025 + 2691791486224 = 4303395^2 + 1640668^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211000012249 - 2⁷ = 21211000012121 is a prime.

It is not a weakly prime, because it can be changed into another prime (21211000012259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605500006124 + 10605500006125.

It is an arithmetic number, because the mean of its divisors is an integer number (10605500006125).

Almost surely, 2^{21211000012249} is an apocalyptic number.

It is an amenable number.

21211000012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211000012249 is an equidigital number, since it uses as much as digits as its factorization.

21211000012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 21211000012249 in words is "twenty-one trillion, two hundred eleven billion, twelve thousand, two hundred forty-nine".