221021122010081 has 2 divisors, whose sum is σ = 221021122010082. Its totient is φ = 221021122010080.

The previous prime is 221021122010069. The next prime is 221021122010089. The reversal of 221021122010081 is 180010221120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172519424662225 + 48501697347856 = 13134665^2 + 6964316^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021122010081 - 2⁴⁶ = 150652377832417 is a prime.

It is a super-2 number, since 2×221021122010081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221021122010089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510561005040 + 110510561005041.

It is an arithmetic number, because the mean of its divisors is an integer number (110510561005041).

Almost surely, 2^{221021122010081} is an apocalyptic number.

It is an amenable number.

221021122010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021122010081 is an equidigital number, since it uses as much as digits as its factorization.

221021122010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 221021122010081 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, ten thousand, eighty-one".