221020011101249 has 2 divisors, whose sum is σ = 221020011101250. Its totient is φ = 221020011101248.

The previous prime is 221020011101119. The next prime is 221020011101273. The reversal of 221020011101249 is 942101110020122.

221020011101249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155579919956224 + 65440091145025 = 12473168^2 + 8089505^2 .

It is a cyclic number.

It is not a de Polignac number, because 221020011101249 - 2³⁶ = 220951291624513 is a prime.

It is not a weakly prime, because it can be changed into another prime (221020011101299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510005550624 + 110510005550625.

It is an arithmetic number, because the mean of its divisors is an integer number (110510005550625).

Almost surely, 2^{221020011101249} is an apocalyptic number.

It is an amenable number.

221020011101249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020011101249 is an equidigital number, since it uses as much as digits as its factorization.

221020011101249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 221020011101249 in words is "two hundred twenty-one trillion, twenty billion, eleven million, one hundred one thousand, two hundred forty-nine".