111122195827829 has 2 divisors, whose sum is σ = 111122195827830. Its totient is φ = 111122195827828.

The previous prime is 111122195827789. The next prime is 111122195827837. The reversal of 111122195827829 is 928728591221111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110860893902500 + 261301925329 = 10529050^2 + 511177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111122195827829 is a prime.

It is a super-2 number, since 2×111122195827829² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111122195827889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561097913914 + 55561097913915.

It is an arithmetic number, because the mean of its divisors is an integer number (55561097913915).

Almost surely, 2^{111122195827829} is an apocalyptic number.

It is an amenable number.

111122195827829 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122195827829 is an equidigital number, since it uses as much as digits as its factorization.

111122195827829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2903040, while the sum is 59.

The spelling of 111122195827829 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred ninety-five million, eight hundred twenty-seven thousand, eight hundred twenty-nine".