221020212010249 has 2 divisors, whose sum is σ = 221020212010250. Its totient is φ = 221020212010248.

The previous prime is 221020212010159. The next prime is 221020212010291. The reversal of 221020212010249 is 942010212020122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151799476000249 + 69220736010000 = 12320693^2 + 8319900^2 .

It is a cyclic number.

It is not a de Polignac number, because 221020212010249 - 2⁴¹ = 218821188754697 is a prime.

It is not a weakly prime, because it can be changed into another prime (221020212110249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510106005124 + 110510106005125.

It is an arithmetic number, because the mean of its divisors is an integer number (110510106005125).

Almost surely, 2^{221020212010249} is an apocalyptic number.

It is an amenable number.

221020212010249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020212010249 is an equidigital number, since it uses as much as digits as its factorization.

221020212010249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 221020212010249 in words is "two hundred twenty-one trillion, twenty billion, two hundred twelve million, ten thousand, two hundred forty-nine".