22111121101129 has 2 divisors, whose sum is σ = 22111121101130. Its totient is φ = 22111121101128.

The previous prime is 22111121101109. The next prime is 22111121101171. The reversal of 22111121101129 is 92110112111122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22070781182025 + 40339919104 = 4697955^2 + 200848^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111121101129 - 2²¹ = 22111119003977 is a prime.

It is not a weakly prime, because it can be changed into another prime (22111121101109) 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, 11055560550564 + 11055560550565.

It is an arithmetic number, because the mean of its divisors is an integer number (11055560550565).

Almost surely, 2^{22111121101129} is an apocalyptic number.

It is an amenable number.

22111121101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111121101129 is an equidigital number, since it uses as much as digits as its factorization.

22111121101129 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 25.

The spelling of 22111121101129 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty-nine".