221100220992829 has 2 divisors, whose sum is σ = 221100220992830. Its totient is φ = 221100220992828.

The previous prime is 221100220992803. The next prime is 221100220992841. The reversal of 221100220992829 is 928299022001122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201555660820900 + 19544560171929 = 14197030^2 + 4420923^2 .

It is a cyclic number.

It is not a de Polignac number, because 221100220992829 - 2¹⁷ = 221100220861757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221100220912829) 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, 110550110496414 + 110550110496415.

It is an arithmetic number, because the mean of its divisors is an integer number (110550110496415).

Almost surely, 2^{221100220992829} is an apocalyptic number.

It is an amenable number.

221100220992829 is a deficient number, since it is larger than the sum of its proper divisors (1).

221100220992829 is an equidigital number, since it uses as much as digits as its factorization.

221100220992829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 221100220992829 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twenty million, nine hundred ninety-two thousand, eight hundred twenty-nine".