221120129 has 2 divisors, whose sum is σ = 221120130. Its totient is φ = 221120128.

The previous prime is 221120113. The next prime is 221120149. The reversal of 221120129 is 921021122.

It is a happy number.

It is an a-pointer prime, because the next prime (221120149) can be obtained adding 221120129 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149328400 + 71791729 = 12220^2 + 8473^2 .

It is a cyclic number.

It is not a de Polignac number, because 221120129 - 2⁴ = 221120113 is a prime.

It is a super-2 number, since 2×221120129² = 97788222897953282, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221120129.

It is not a weakly prime, because it can be changed into another prime (221120149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560064 + 110560065.

It is an arithmetic number, because the mean of its divisors is an integer number (110560065).

Almost surely, 2^221120129 is an apocalyptic number.

It is an amenable number.

221120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120129 is an equidigital number, since it uses as much as digits as its factorization.

221120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 221120129 is about 14870.1085739143. The cubic root of 221120129 is about 604.7038862379.

The spelling of 221120129 in words is "two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-nine".