221022122129 has 2 divisors, whose sum is σ = 221022122130. Its totient is φ = 221022122128.

The previous prime is 221022122077. The next prime is 221022122137. The reversal of 221022122129 is 921221220122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164330512129 + 56691610000 = 405377^2 + 238100^2 .

It is a cyclic number.

It is not a de Polignac number, because 221022122129 - 2²⁴ = 221005344913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221022122098 and 221022122107.

It is not a weakly prime, because it can be changed into another prime (221022122029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511061064 + 110511061065.

It is an arithmetic number, because the mean of its divisors is an integer number (110511061065).

Almost surely, 2^221022122129 is an apocalyptic number.

It is an amenable number.

221022122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221022122129 is an equidigital number, since it uses as much as digits as its factorization.

221022122129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221022122129 in words is "two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-nine".