2221122111029 has 2 divisors, whose sum is σ = 2221122111030. Its totient is φ = 2221122111028.

The previous prime is 2221122111017. The next prime is 2221122111031. The reversal of 2221122111029 is 9201112211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2075694288529 + 145427822500 = 1440727^2 + 381350^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221122111029 - 2⁸ = 2221122110773 is a prime.

Together with 2221122111031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221122110989 and 2221122111007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221122111629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561055514 + 1110561055515.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561055515).

Almost surely, 2^{2221122111029} is an apocalyptic number.

It is an amenable number.

2221122111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221122111029 is an equidigital number, since it uses as much as digits as its factorization.

2221122111029 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 2221122111029 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, twenty-nine".