22111100111129 has 2 divisors, whose sum is σ = 22111100111130. Its totient is φ = 22111100111128.

The previous prime is 22111100111069. The next prime is 22111100111153. The reversal of 22111100111129 is 92111100111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15221273088025 + 6889827023104 = 3901445^2 + 2624848^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111100111129 - 2⁸ = 22111100110873 is a prime.

It is a super-2 number, since 2×22111100111129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22111100110129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055550055564 + 11055550055565.

It is an arithmetic number, because the mean of its divisors is an integer number (11055550055565).

Almost surely, 2^{22111100111129} is an apocalyptic number.

It is an amenable number.

22111100111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111100111129 is an equidigital number, since it uses as much as digits as its factorization.

22111100111129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 22111100111129 in words is "twenty-two trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty-nine".