diff --git a/src/initialization.jl b/src/initialization.jl
index 23551e0885..53fcd63f04 100644
--- a/src/initialization.jl
+++ b/src/initialization.jl
@@ -295,3 +295,23 @@ end
 function is_trivial_initialization(prob::AbstractSciMLProblem)
     is_trivial_initialization(prob.f)
 end
+
+@enum DETERMINED_STATUS OVERDETERMINED FULLY_DETERMINED UNDERDETERMINED
+
+function initialization_status(prob::AbstractSciMLProblem)
+    has_initialization_data(prob.f) || return nothing
+
+    sys = prob.f.initialization_data.initializeprob.f.sys
+    isnothing(sys) && return nothing
+
+    neqs = length(equations(sys))
+    nunknowns = length(unknowns(sys))
+
+    if neqs > nunknowns
+        return OVERDETERMINED
+    elseif neqs < nunknowns
+        return UNDERDETERMINED
+    else
+        return FULLY_DETERMINED
+    end
+end
diff --git a/src/problems/problem_utils.jl b/src/problems/problem_utils.jl
index f2faaf20b6..ad23cea6a6 100644
--- a/src/problems/problem_utils.jl
+++ b/src/problems/problem_utils.jl
@@ -26,9 +26,12 @@ function Base.summary(io::IO, prob::AbstractDEProblem)
         prob.tspan isa Function ?
         "Unknown" : (prob.tspan === nothing ?
          "Nothing" : typeof(prob.tspan[1])),
-        no_color, ". In-place: ",
-        type_color, isinplace(prob),
-        no_color)
+        no_color, 
+        ". In-place: ", type_color, isinplace(prob), no_color) 
+    init = initialization_status(prob)
+    !isnothing(init) && print(io, "Initialization status: ", type_color, initialization_status(prob), no_color)
+    println(io)
+    print(io, "Non-trivial mass matrix: ", type_color, !(prob.f.mass_matrix isa LinearAlgebra.UniformScaling{Bool}), no_color)
 end
 
 function Base.summary(io::IO, prob::AbstractLinearProblem)
@@ -111,6 +114,7 @@ function Base.show(io::IO, mime::MIME"text/plain", A::AbstractDEProblem)
     println(io)
     print(io, "u0: ")
     show(io, mime, A.u0)
+     
 end
 function Base.show(io::IO, mime::MIME"text/plain", A::AbstractNoiseProblem)
     summary(io, A)